485472960
485,472,960 is an even composite number composed of six prime numbers multiplied together.
485472960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 485472960:
26 × 33 × 5 × 7 × 23 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 349)See below for interesting mathematical facts about the number 485472960 from the Numbermatics database.
Names of 485472960
- Cardinal: 485472960 can be written as Four hundred eighty-five million, four hundred seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.8547296 × 108
Factors of 485472960
Divisors of 485472960
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 32 35 36 40 42 45 46 48 54 56 60 63 64 69 70 72 80 84 90 92 96 105 108 112 115 120 126 135 138 140 144 160 161 168 180 184 189 192 207 210 216 224 230 240 252 270 276 280 288 315 320 322 336 345 349 360 368 378 414 420 432 448 460 480 483 504 540 552 560 576 621 630 644 672 690 698 720 736 756 805 828 840 864 920 945 960 966 1008 1035 1047 1080 1104 1120 1242 1260 1288 1344 1380 1396 1440 1449 1472 1512 1610 1656 1680 1728 1745 1840 1890 1932 2016 2070 2094 2160 2208 2240 2415 2443 2484 2520 2576 2760 2792 2880 2898 3024 3105 3141 3220 3312 3360 3490 3680 3780 3864 4032 4140 4188 4320 4347 4416 4830 4886 4968 5040 5152 5235 5520 5584 5796 6048 6210 6282 6440 6624 6720 6980 7245 7329 7360 7560 7728 8027 8280 8376 8640 8694 9423 9660 9772 9936 10080 10304 10470 11040 11168 11592 12096 12215 12420 12564 12880 13248 13960 14490 14658 15120 15456 15705 16054 16560 16752 17388 18846 19320 19544 19872 20160 20940 21735 21987 22080 22336 23184 24081 24430 24840 25128 25760 27920 28980 29316 30240 30912 31410 32108 33120 33504 34776 36645 37692 38640 39088 39744 40135 41880 43470 43974 46368 47115 48162 48860 49680 50256 51520 55840 56189 57960 58632 60480 62820 64216 65961 66240 67008 69552 72243 73290 75384 77280 78176 80270 83760 86940 87948 92736 94230 96324 97720 99360 100512 109935 111680 112378 115920 117264 120405 125640 128432 131922 139104 144486 146580 150768 154560 156352 160540 167520 168567 173880 175896 188460 192648 195440 198720 201024 216729 219870 224756 231840 234528 240810 251280 256864 263844 278208 280945 288972 293160 301536 321080 329805 335040 337134 347760 351792 361215 376920 385296 390880 433458 439740 449512 463680 469056 481620 502560 505701 513728 527688 561890 577944 586320 603072 642160 659610 674268 695520 703584 722430 753840 770592 781760 842835 866916 879480 899024 963240 1005120 1011402 1055376 1083645 1123780 1155888 1172640 1284320 1319220 1348536 1391040 1407168 1444860 1507680 1517103 1541184 1685670 1733832 1758960 1798048 1926480 2022804 2110752 2167290 2247560 2311776 2345280 2528505 2568640 2638440 2697072 2889720 3015360 3034206 3371340 3467664 3517920 3596096 3852960 4045608 4221504 4334580 4495120 4623552 5057010 5276880 5394144 5779440 6068412 6742680 6935328 7035840 7585515 7705920 8091216 8669160 8990240 10114020 10553760 10788288 11558880 12136824 13485360 13870656 15171030 16182432 17338320 17980480 20228040 21107520 23117760 24273648 26970720 30342060 32364864 34676640 40456080 48547296 53941440 60684120 69353280 80912160 97094592 121368240 161824320 242736480 485472960
- Sum of all divisors σ(n): 2048256000
- Sum of proper divisors (its aliquot sum) s(n): 1562783040
- 485472960 is an abundant number, because the sum of its proper divisors (1562783040) is greater than itself. Its abundance is 1077310080
Bases of 485472960
- Binary: 111001110111110111010110000002
- Hexadecimal: 0x1CEFBAC0
- Base-36: 811DC0
Squares and roots of 485472960
- 485472960 squared (4854729602) is 235683994891161600
- 485472960 cubed (4854729603) is 114418206624437099790336000
-
The
square root of 485472960 is 22033.4509326161 -
The
cube root of 485472960 is 785.9381106215
Scales and comparisons
How big is 485472960?- 485,472,960 seconds is equal to 15 years, 22 weeks, 4 days, 21 hours, 36 minutes.
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To count from 1 to 485,472,960 would take you about twenty-three 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 485472960 cubic inches would be around 65.5 feet tall.
Recreational maths with 485472960
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