828315072
828,315,072 is an even composite number composed of five prime numbers multiplied together.
828315072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 828315072:
26 × 35 × 13 × 17 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 241)See below for interesting mathematical facts about the number 828315072 from the Numbermatics database.
Names of 828315072
- Cardinal: 828315072 can be written as Eight hundred twenty-eight million, three hundred fifteen thousand and seventy-two.
Scientific notation
- Scientific notation: 8.28315072 × 108
Factors of 828315072
Divisors of 828315072
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 81 96 102 104 108 117 136 144 153 156 162 192 204 208 216 221 234 241 243 272 288 306 312 324 351 408 416 432 442 459 468 482 486 544 576 612 624 648 663 702 723 816 832 864 884 918 936 964 972 1053 1088 1224 1248 1296 1326 1377 1404 1446 1632 1728 1768 1836 1872 1928 1944 1989 2106 2169 2448 2496 2592 2652 2754 2808 2892 3133 3159 3264 3536 3672 3744 3856 3888 3978 4097 4131 4212 4338 4896 5184 5304 5508 5616 5784 5967 6266 6318 6507 7072 7344 7488 7712 7776 7956 8194 8262 8424 8676 9399 9792 10608 11016 11232 11568 11934 12291 12532 12636 13014 14144 14688 15424 15552 15912 16388 16524 16848 17352 17901 18798 19521 21216 22032 22464 23136 23868 24582 25064 25272 26028 28197 29376 31824 32776 33048 33696 34704 35802 36873 37596 39042 42432 44064 46272 47736 49164 50128 50544 52056 53261 53703 56394 58563 63648 65552 66096 67392 69408 71604 73746 75192 78084 84591 88128 95472 98328 100256 101088 104112 106522 107406 110619 112788 117126 127296 131104 132192 138816 143208 147492 150384 156168 159783 169182 190944 196656 200512 202176 208224 213044 214812 221238 225576 234252 253773 262208 264384 286416 294984 300768 312336 319566 331857 338364 381888 393312 416448 426088 429624 442476 451152 468504 479349 507546 572832 589968 601536 624672 639132 663714 676728 761319 786624 852176 859248 884952 902304 937008 958698 995571 1015092 1145664 1179936 1249344 1278264 1327428 1353456 1438047 1522638 1704352 1718496 1769904 1804608 1874016 1917396 1991142 2030184 2359872 2556528 2654856 2706912 2876094 3045276 3408704 3436992 3539808 3748032 3834792 3982284 4060368 4314141 5113056 5309712 5413824 5752188 6090552 7079616 7669584 7964568 8120736 8628282 10226112 10619424 11504376 12181104 12942423 15339168 15929136 16241472 17256564 21238848 23008752 24362208 25884846 30678336 31858272 34513128 46017504 48724416 51769692 63716544 69026256 92035008 103539384 138052512 207078768 276105024 414157536 828315072
- Sum of all divisors σ(n): 2819168352
- Sum of proper divisors (its aliquot sum) s(n): 1990853280
- 828315072 is an abundant number, because the sum of its proper divisors (1990853280) is greater than itself. Its abundance is 1162538208
Bases of 828315072
- Binary: 1100010101111100010101110000002
- Hexadecimal: 0x315F15C0
- Base-36: DP5O00
Squares and roots of 828315072
- 828315072 squared (8283150722) is 686105858502365184
- 828315072 cubed (8283150723) is 568311823585008429555253248
-
The
square root of 828315072 is 28780.4633736151 -
The
cube root of 828315072 is 939.1432785683
Scales and comparisons
How big is 828315072?- 828,315,072 seconds is equal to 26 years, 17 weeks, 3 days, 23 hours, 31 minutes, 12 seconds.
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To count from 1 to 828,315,072 would take you about thirty-nine 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 828315072 cubic inches would be around 78.3 feet tall.
Recreational maths with 828315072
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