42496272
42,496,272 is an even composite number composed of six prime numbers multiplied together.
42496272 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 42496272:
24 × 33 × 7 × 13 × 23 × 47
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 23 × 47)See below for interesting mathematical facts about the number 42496272 from the Numbermatics database.
Names of 42496272
- Cardinal: 42496272 can be written as Forty-two million, four hundred ninety-six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 4.2496272 × 107
Factors of 42496272
Divisors of 42496272
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 36 39 42 46 47 48 52 54 56 63 69 72 78 84 91 92 94 104 108 112 117 126 138 141 144 156 161 168 182 184 188 189 207 208 216 234 252 273 276 282 299 312 322 329 336 351 364 368 376 378 414 423 432 468 483 504 546 552 564 598 611 621 624 644 658 702 728 752 756 819 828 846 897 936 966 987 1008 1081 1092 1104 1128 1196 1222 1242 1269 1288 1316 1404 1449 1456 1512 1638 1656 1692 1794 1833 1872 1932 1974 2093 2162 2184 2256 2392 2444 2457 2484 2538 2576 2632 2691 2808 2898 2961 3024 3243 3276 3312 3384 3588 3666 3864 3948 4186 4277 4324 4347 4368 4784 4888 4914 4968 5076 5264 5382 5499 5616 5796 5922 6279 6486 6552 6768 7176 7332 7567 7728 7896 8073 8372 8554 8648 8694 8883 9729 9776 9828 9936 10152 10764 10998 11592 11844 12558 12831 12972 13104 14053 14352 14664 15134 15792 16146 16497 16744 17108 17296 17388 17766 18837 19458 19656 20304 21528 21996 22701 23184 23688 25116 25662 25944 28106 29187 29328 30268 32292 32994 33488 34216 34776 35532 37674 38493 38916 39312 42159 43056 43992 45402 47376 50232 51324 51888 56212 56511 58374 60536 64584 65988 68103 68432 69552 71064 75348 76986 77832 84318 87984 90804 98371 100464 102648 112424 113022 115479 116748 121072 126477 129168 131976 136206 142128 150696 153972 155664 168636 181608 196742 204309 205296 224848 226044 230958 233496 252954 263952 272412 295113 301392 307944 337272 363216 379431 393484 408618 452088 461916 466992 505908 544824 590226 615888 674544 758862 786968 817236 885339 904176 923832 1011816 1089648 1180452 1517724 1573936 1634472 1770678 1847664 2023632 2360904 2656017 3035448 3268944 3541356 4721808 5312034 6070896 7082712 10624068 14165424 21248136 42496272
- Sum of all divisors σ(n): 159989760
- Sum of proper divisors (its aliquot sum) s(n): 117493488
- 42496272 is an abundant number, because the sum of its proper divisors (117493488) is greater than itself. Its abundance is 74997216
Bases of 42496272
- Binary: 101000100001110001000100002
- Hexadecimal: 0x2887110
- Base-36: PAUC0
Squares and roots of 42496272
- 42496272 squared (424962722) is 1805933133897984
- 42496272 cubed (424962723) is 76745425671941148315648
-
The
square root of 42496272 is 6518.9164743843 -
The
cube root of 42496272 is 348.9663982449
Scales and comparisons
How big is 42496272?- 42,496,272 seconds is equal to 1 year, 18 weeks, 1 day, 20 hours, 31 minutes, 12 seconds.
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To count from 1 to 42,496,272 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 42496272 cubic inches would be around 29.1 feet tall.
Recreational maths with 42496272
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