48121920
48,121,920 is an even composite number composed of six prime numbers multiplied together.
48121920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 48121920:
26 × 32 × 5 × 72 × 11 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 31)See below for interesting mathematical facts about the number 48121920 from the Numbermatics database.
Names of 48121920
- Cardinal: 48121920 can be written as Forty-eight million, one hundred twenty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.812192 × 107
Factors of 48121920
Divisors of 48121920
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 31 32 33 35 36 40 42 44 45 48 49 55 56 60 62 63 64 66 70 72 77 80 84 88 90 93 96 98 99 105 110 112 120 124 126 132 140 144 147 154 155 160 165 168 176 180 186 192 196 198 210 217 220 224 231 240 245 248 252 264 279 280 288 294 308 310 315 320 330 336 341 352 360 372 385 392 396 420 434 440 441 448 462 465 480 490 495 496 504 528 539 558 560 576 588 616 620 630 651 660 672 682 693 704 720 735 744 770 784 792 840 868 880 882 924 930 960 980 990 992 1008 1023 1056 1078 1085 1116 1120 1155 1176 1232 1240 1260 1302 1320 1344 1364 1386 1395 1440 1470 1488 1519 1540 1568 1584 1617 1680 1705 1736 1760 1764 1848 1860 1953 1960 1980 1984 2016 2046 2112 2156 2170 2205 2232 2240 2310 2352 2387 2464 2480 2520 2604 2640 2695 2728 2772 2790 2880 2940 2976 3038 3069 3080 3136 3168 3234 3255 3360 3410 3465 3472 3520 3528 3696 3720 3906 3920 3960 4032 4092 4312 4340 4410 4464 4557 4620 4704 4774 4851 4928 4960 5040 5115 5208 5280 5390 5456 5544 5580 5880 5952 6076 6138 6160 6336 6468 6510 6720 6820 6930 6944 7056 7161 7392 7440 7595 7812 7840 7920 8085 8184 8624 8680 8820 8928 9114 9240 9408 9548 9702 9765 9920 10080 10230 10416 10560 10780 10912 11088 11160 11760 11935 12152 12276 12320 12936 13020 13640 13671 13860 13888 14112 14322 14784 14880 15190 15345 15624 15680 15840 16170 16368 16709 17248 17360 17640 17856 18228 18480 19096 19404 19530 20160 20460 20832 21483 21560 21824 22176 22320 22785 23520 23870 24255 24304 24552 24640 25872 26040 27280 27342 27720 28224 28644 29760 30380 30690 31248 31680 32340 32736 33418 34496 34720 35280 35805 36456 36960 38192 38808 39060 40920 41664 42966 43120 44352 44640 45570 47040 47740 48510 48608 49104 50127 51744 52080 54560 54684 55440 57288 60760 61380 62496 64680 65472 66836 68355 69440 70560 71610 72912 73920 76384 77616 78120 81840 83545 85932 86240 89280 91140 95480 97020 97216 98208 100254 103488 104160 107415 109120 109368 110880 114576 121520 122760 124992 129360 133672 136710 141120 143220 145824 150381 152768 155232 156240 163680 167090 171864 172480 182280 190960 194040 196416 200508 208320 214830 218736 221760 229152 243040 245520 250635 258720 267344 273420 286440 291648 300762 310464 312480 327360 334180 343728 364560 381920 388080 401016 429660 437472 458304 486080 491040 501270 517440 534688 546840 572880 601524 624960 668360 687456 729120 751905 763840 776160 802032 859320 874944 982080 1002540 1069376 1093680 1145760 1203048 1336720 1374912 1458240 1503810 1552320 1604064 1718640 2005080 2187360 2291520 2406096 2673440 3007620 3208128 3437280 4010160 4374720 4812192 5346880 6015240 6874560 8020320 9624384 12030480 16040640 24060960 48121920
- Sum of all divisors σ(n): 216822528
- Sum of proper divisors (its aliquot sum) s(n): 168700608
- 48121920 is an abundant number, because the sum of its proper divisors (168700608) is greater than itself. Its abundance is 120578688
Bases of 48121920
- Binary: 101101111001001000010000002
- Hexadecimal: 0x2DE4840
- Base-36: SNF40
Squares and roots of 48121920
- 48121920 squared (481219202) is 2315719184486400
- 48121920 cubed (481219203) is 111436853338319781888000
-
The
square root of 48121920 is 6936.9964682131 -
The
cube root of 48121920 is 363.7315575019
Scales and comparisons
How big is 48121920?- 48,121,920 seconds is equal to 1 year, 27 weeks, 3 days, 23 hours, 12 minutes.
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To count from 1 to 48,121,920 would take you about two 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 48121920 cubic inches would be around 30.3 feet tall.
Recreational maths with 48121920
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