51628320
51,628,320 is an even composite number composed of six prime numbers multiplied together.
51628320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 51628320:
25 × 33 × 5 × 17 × 19 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 19 × 37)See below for interesting mathematical facts about the number 51628320 from the Numbermatics database.
Names of 51628320
- Cardinal: 51628320 can be written as Fifty-one million, six hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 5.162832 × 107
Factors of 51628320
Divisors of 51628320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 27 30 32 34 36 37 38 40 45 48 51 54 57 60 68 72 74 76 80 85 90 95 96 102 108 111 114 120 135 136 144 148 152 153 160 170 171 180 185 190 204 216 222 228 240 255 270 272 285 288 296 304 306 323 333 340 342 360 370 380 408 432 444 456 459 480 510 513 540 544 555 570 592 608 612 629 646 666 680 684 703 720 740 760 765 816 855 864 888 912 918 969 999 1020 1026 1080 1110 1140 1184 1224 1258 1292 1332 1360 1368 1406 1440 1480 1520 1530 1615 1632 1665 1710 1776 1824 1836 1887 1938 1998 2040 2052 2109 2160 2220 2280 2295 2448 2516 2565 2584 2664 2720 2736 2812 2907 2960 3040 3060 3145 3230 3330 3420 3515 3552 3672 3774 3876 3996 4080 4104 4218 4320 4440 4560 4590 4845 4896 4995 5032 5130 5168 5328 5472 5624 5661 5814 5920 6120 6290 6327 6460 6660 6840 7030 7344 7548 7752 7992 8160 8208 8436 8721 8880 9120 9180 9435 9690 9990 10064 10260 10336 10545 10656 11248 11322 11628 11951 12240 12580 12654 12920 13320 13680 14060 14535 14688 15096 15504 15984 16416 16872 16983 17442 17760 18360 18870 18981 19380 19980 20128 20520 21090 22496 22644 23256 23902 24480 25160 25308 25840 26640 27360 28120 28305 29070 30192 31008 31635 31968 33744 33966 34884 35853 36720 37740 37962 38760 39960 41040 42180 43605 45288 46512 47804 50320 50616 51680 53280 56240 56610 58140 59755 60384 63270 67488 67932 69768 71706 73440 75480 75924 77520 79920 82080 84360 84915 87210 90576 93024 94905 95608 100640 101232 107559 112480 113220 116280 119510 126540 135864 139536 143412 150960 151848 155040 159840 168720 169830 174420 179265 181152 189810 191216 202464 215118 226440 232560 239020 253080 271728 279072 286824 301920 303696 322677 337440 339660 348840 358530 379620 382432 430236 452880 465120 478040 506160 537795 543456 573648 607392 645354 679320 697680 717060 759240 860472 905760 956080 1012320 1075590 1147296 1290708 1358640 1395360 1434120 1518480 1613385 1720944 1912160 2151180 2581416 2717280 2868240 3036960 3226770 3441888 4302360 5162832 5736480 6453540 8604720 10325664 12907080 17209440 25814160 51628320
- Sum of all divisors σ(n): 206841600
- Sum of proper divisors (its aliquot sum) s(n): 155213280
- 51628320 is an abundant number, because the sum of its proper divisors (155213280) is greater than itself. Its abundance is 103584960
Bases of 51628320
- Binary: 110001001111001001001000002
- Hexadecimal: 0x313C920
- Base-36: UQKO0
Squares and roots of 51628320
- 51628320 squared (516283202) is 2665483426022400
- 51628320 cubed (516283203) is 137614431273380794368000
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The
square root of 51628320 is 7185.2849630337 -
The
cube root of 51628320 is 372.3596937167
Scales and comparisons
How big is 51628320?- 51,628,320 seconds is equal to 1 year, 33 weeks, 2 days, 13 hours, 12 minutes.
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To count from 1 to 51,628,320 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 51628320 cubic inches would be around 31 feet tall.
Recreational maths with 51628320
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