82053972
82,053,972 is an even composite number composed of six prime numbers multiplied together.
82053972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 82053972:
22 × 34 × 7 × 112 × 13 × 23
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 13 × 23)See below for interesting mathematical facts about the number 82053972 from the Numbermatics database.
Names of 82053972
- Cardinal: 82053972 can be written as Eighty-two million, fifty-three thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 8.2053972 × 107
Factors of 82053972
Divisors of 82053972
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 13 14 18 21 22 23 26 27 28 33 36 39 42 44 46 52 54 63 66 69 77 78 81 84 91 92 99 108 117 121 126 132 138 143 154 156 161 162 182 189 198 207 231 234 242 252 253 273 276 286 297 299 308 322 324 351 363 364 378 396 414 429 462 468 483 484 506 546 567 572 594 598 621 644 693 702 726 756 759 819 828 847 858 891 897 924 966 1001 1012 1053 1089 1092 1134 1188 1196 1242 1287 1386 1404 1449 1452 1518 1573 1638 1694 1716 1771 1782 1794 1863 1932 2002 2079 2093 2106 2178 2268 2277 2457 2484 2541 2574 2691 2772 2783 2898 3003 3036 3146 3267 3276 3289 3388 3542 3564 3588 3726 3861 4004 4158 4186 4212 4347 4356 4554 4719 4914 5082 5148 5313 5382 5566 5796 6006 6237 6279 6292 6534 6578 6831 7084 7371 7452 7623 7722 8073 8316 8349 8372 8694 9009 9108 9438 9801 9828 9867 10164 10626 10764 11011 11132 11583 12012 12474 12558 13041 13068 13156 13662 14157 14742 15246 15444 15939 16146 16698 17388 18018 18837 18876 19481 19602 19734 20493 21252 22022 22869 23023 23166 24219 24948 25047 25116 26082 27027 27324 28314 29484 29601 30492 31878 32292 33033 33396 36036 36179 37674 38962 39204 39468 40986 42471 44044 45738 46046 46332 47817 48438 50094 52164 54054 56511 56628 58443 59202 63756 66066 68607 69069 72358 75141 75348 77924 81081 81972 84942 88803 91476 92092 95634 96876 99099 100188 108108 108537 113022 116886 118404 127413 132132 137214 138138 143451 144716 150282 162162 169533 169884 175329 177606 191268 198198 207207 217074 225423 226044 233772 253253 254826 266409 274428 276276 286902 297297 300564 324324 325611 339066 350658 355212 396396 414414 434148 450846 506506 509652 525987 532818 573804 594594 621621 651222 678132 701316 759759 828828 891891 901692 976833 1013012 1051974 1065636 1189188 1243242 1302444 1519518 1577961 1783782 1864863 1953666 2103948 2279277 2486484 2930499 3039036 3155922 3567564 3729726 3907332 4558554 5860998 6311844 6837831 7459452 9117108 11721996 13675662 20513493 27351324 41026986 82053972
- Sum of all divisors σ(n): 302805888
- Sum of proper divisors (its aliquot sum) s(n): 220751916
- 82053972 is an abundant number, because the sum of its proper divisors (220751916) is greater than itself. Its abundance is 138697944
Bases of 82053972
- Binary: 1001110010000001011010101002
- Hexadecimal: 0x4E40B54
- Base-36: 1CUP90
Squares and roots of 82053972
- 82053972 squared (820539722) is 6732854320976784
- 82053972 cubed (820539723) is 552457439933508046986048
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The
square root of 82053972 is 9058.3647530887 -
The
cube root of 82053972 is 434.5434448895
Scales and comparisons
How big is 82053972?- 82,053,972 seconds is equal to 2 years, 31 weeks, 4 days, 16 hours, 46 minutes, 12 seconds.
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To count from 1 to 82,053,972 would take you about 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 82053972 cubic inches would be around 36.2 feet tall.
Recreational maths with 82053972
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