828132480
828,132,480 is an even composite number composed of seven prime numbers multiplied together.
828132480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 828132480:
27 × 32 × 5 × 7 × 19 × 23 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 23 × 47)See below for interesting mathematical facts about the number 828132480 from the Numbermatics database.
Names of 828132480
- Cardinal: 828132480 can be written as Eight hundred twenty-eight million, one hundred thirty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 8.2813248 × 108
Factors of 828132480
Divisors of 828132480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 28 30 32 35 36 38 40 42 45 46 47 48 56 57 60 63 64 69 70 72 76 80 84 90 92 94 95 96 105 112 114 115 120 126 128 133 138 140 141 144 152 160 161 168 171 180 184 188 190 192 207 210 224 228 230 235 240 252 266 276 280 282 285 288 304 315 320 322 329 336 342 345 360 368 376 380 384 399 414 420 423 437 448 456 460 470 480 483 504 532 552 560 564 570 576 608 630 640 644 658 665 672 684 690 705 720 736 752 760 798 805 828 840 846 855 874 893 896 912 920 940 960 966 987 1008 1035 1064 1081 1104 1120 1128 1140 1152 1197 1216 1260 1288 1311 1316 1330 1344 1368 1380 1410 1440 1449 1472 1504 1520 1596 1610 1645 1656 1680 1692 1710 1748 1786 1824 1840 1880 1920 1932 1974 1995 2016 2070 2115 2128 2162 2185 2208 2240 2256 2280 2394 2415 2432 2520 2576 2622 2632 2660 2679 2688 2736 2760 2820 2880 2898 2944 2961 3008 3040 3059 3192 3220 3243 3290 3312 3360 3384 3420 3496 3572 3648 3680 3760 3864 3933 3948 3990 4032 4140 4230 4256 4324 4370 4416 4465 4480 4512 4560 4788 4830 4935 5040 5152 5244 5264 5320 5358 5405 5472 5520 5640 5760 5796 5922 5985 6016 6080 6118 6251 6384 6440 6486 6555 6580 6624 6720 6768 6840 6992 7144 7245 7296 7360 7520 7567 7728 7866 7896 7980 8037 8064 8280 8460 8512 8648 8740 8832 8930 9024 9120 9177 9576 9660 9729 9870 10080 10304 10488 10528 10640 10716 10810 10944 11040 11280 11592 11844 11970 12160 12236 12502 12768 12880 12972 13110 13160 13248 13395 13440 13536 13680 13984 14288 14490 14720 14805 15040 15134 15295 15456 15732 15792 15960 16074 16215 16560 16920 17024 17296 17480 17860 18048 18240 18354 18753 19152 19320 19458 19665 19740 20160 20539 20608 20976 21056 21280 21432 21620 21888 22080 22560 22701 23184 23688 23940 24472 25004 25536 25760 25944 26220 26320 26496 26790 27072 27360 27531 27968 28576 28980 29610 30080 30268 30590 30912 31255 31464 31584 31920 32148 32430 33120 33840 34592 34960 35720 36480 36708 37506 37835 38304 38640 38916 39330 39480 40185 40320 41078 41952 42112 42560 42864 43240 44160 45120 45402 45885 46368 47376 47880 48645 48944 50008 51072 51520 51888 52440 52640 53580 54144 54720 55062 55936 56259 57152 57960 59220 60536 61180 61617 61824 62510 62928 63168 63840 64296 64860 66240 67680 68103 69184 69920 71440 73416 75012 75670 76608 77280 77832 78660 78960 80370 82156 83904 85120 85728 86480 90240 90804 91770 92736 93765 94752 95760 97290 97888 100016 102695 103040 103776 104880 105280 107160 109440 110124 112518 113505 114304 115920 118440 121072 122360 123234 125020 125856 126336 127680 128592 129720 132480 135360 136206 137655 138368 139840 142880 143773 146832 150024 151340 153216 154560 155664 157320 157920 160740 164312 167808 171456 172960 181608 183540 184851 185472 187530 189504 191520 194580 195776 200032 205390 207552 209760 210560 214320 220248 225036 227010 231840 236880 242144 244720 246468 250040 251712 255360 257184 259440 270720 272412 275310 279680 281295 285760 287546 293664 300048 302680 308085 309120 311328 314640 315840 321480 328624 340515 342912 345920 363216 367080 369702 375060 379008 383040 389160 391552 400064 410780 415104 419520 428640 431319 440496 450072 454020 463680 473760 484288 489440 492936 500080 503424 514368 518880 544824 550620 562590 571520 575092 587328 600096 605360 616170 622656 629280 631680 642960 657248 681030 691840 718865 726432 734160 739404 750120 766080 778320 800128 821560 839040 857280 862638 880992 900144 908040 924255 927360 947520 968576 978880 985872 1000160 1028736 1037760 1089648 1101240 1125180 1150184 1174656 1200192 1210720 1232340 1245312 1258560 1285920 1293957 1314496 1362060 1437730 1452864 1468320 1478808 1500240 1556640 1643120 1714560 1725276 1761984 1800288 1816080 1848510 1895040 1957760 1971744 2000320 2075520 2156595 2179296 2202480 2250360 2300368 2400384 2421440 2464680 2517120 2571840 2587914 2628992 2724120 2875460 2905728 2936640 2957616 3000480 3113280 3286240 3450552 3523968 3600576 3632160 3697020 3943488 4000640 4313190 4358592 4404960 4500720 4600736 4842880 4929360 5143680 5175828 5448240 5750920 5873280 5915232 6000960 6226560 6469785 6572480 6901104 7201152 7264320 7394040 7886976 8626380 8717184 8809920 9001440 9201472 9858720 10351656 10896480 11501840 11830464 12001920 12939570 13144960 13802208 14528640 14788080 17252760 17619840 18002880 18402944 19717440 20703312 21792960 23003680 23660928 25879140 27604416 29576160 34505520 36005760 39434880 41406624 43585920 46007360 51758280 55208832 59152320 69011040 82813248 92014720 103516560 118304640 138022080 165626496 207033120 276044160 414066240 828132480
- Sum of all divisors σ(n): 3666124800
- Sum of proper divisors (its aliquot sum) s(n): 2837992320
- 828132480 is an abundant number, because the sum of its proper divisors (2837992320) is greater than itself. Its abundance is 2009859840
Bases of 828132480
- Binary: 1100010101110001001100100000002
- Hexadecimal: 0x315C4C80
- Base-36: DP1R40
Squares and roots of 828132480
- 828132480 squared (8281324802) is 685803404430950400
- 828132480 cubed (8281324803) is 567936074103845943508992000
-
The
square root of 828132480 is 28777.2910469349 -
The
cube root of 828132480 is 939.0742659195
Scales and comparisons
How big is 828132480?- 828,132,480 seconds is equal to 26 years, 17 weeks, 1 day, 20 hours, 48 minutes.
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To count from 1 to 828,132,480 would take you about thirty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 828132480 cubic inches would be around 78.3 feet tall.
Recreational maths with 828132480
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The information we have on file for 828132480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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