828896328
828,896,328 is an even composite number composed of four prime numbers multiplied together.
828896328 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 828896328:
23 × 36 × 132 × 292
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 29 × 29)See below for interesting mathematical facts about the number 828896328 from the Numbermatics database.
Names of 828896328
- Cardinal: 828896328 can be written as Eight hundred twenty-eight million, eight hundred ninety-six thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 8.28896328 × 108
Factors of 828896328
Divisors of 828896328
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 81 87 104 108 116 117 156 162 169 174 216 232 234 243 261 312 324 338 348 351 377 468 486 507 522 648 676 696 702 729 754 783 841 936 972 1014 1044 1053 1131 1352 1404 1458 1508 1521 1566 1682 1944 2028 2088 2106 2262 2349 2523 2808 2916 3016 3042 3132 3159 3364 3393 4056 4212 4524 4563 4698 4901 5046 5832 6084 6264 6318 6728 6786 7047 7569 8424 9048 9126 9396 9477 9802 10092 10179 10933 12168 12636 13572 13689 14094 14703 15138 18252 18792 18954 19604 20184 20358 21141 21866 22707 25272 27144 27378 28188 29406 30276 30537 32799 36504 37908 39208 40716 41067 42282 43732 44109 45414 54756 56376 58812 60552 61074 65598 68121 75816 81432 82134 84564 87464 88218 90828 91611 98397 109512 117624 122148 123201 131196 132327 136242 142129 164268 169128 176436 181656 183222 196794 204363 244296 246402 262392 264654 272484 274833 284258 295191 328536 352872 366444 393588 396981 408726 426387 492804 529308 544968 549666 568516 590382 613089 732888 787176 793962 817452 852774 885573 985608 1058616 1099332 1137032 1180764 1190943 1226178 1279161 1587924 1634904 1705548 1771146 2198664 2361528 2381886 2452356 2558322 2656719 3175848 3411096 3542292 3572829 3837483 4763772 4904712 5116644 5313438 7084584 7145658 7674966 7970157 9527544 10233288 10626876 11512449 14291316 15349932 15940314 21253752 23024898 28582632 30699864 31880628 34537347 46049796 63761256 69074694 92099592 103612041 138149388 207224082 276298776 414448164 828896328
- Sum of all divisors σ(n): 2613248235
- Sum of proper divisors (its aliquot sum) s(n): 1784351907
- 828896328 is an abundant number, because the sum of its proper divisors (1784351907) is greater than itself. Its abundance is 955455579
Bases of 828896328
- Binary: 1100010110011111110100010010002
- Hexadecimal: 0x3167F448
- Base-36: DPI4I0
Squares and roots of 828896328
- 828896328 squared (8288963282) is 687069122571883584
- 828896328 cubed (8288963283) is 569509072782016218821079552
-
The
square root of 828896328 is 28790.5597027917 -
The
cube root of 828896328 is 939.3629031395
Scales and comparisons
How big is 828896328?- 828,896,328 seconds is equal to 26 years, 18 weeks, 3 days, 16 hours, 58 minutes, 48 seconds.
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To count from 1 to 828,896,328 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 828896328 cubic inches would be around 78.3 feet tall.
Recreational maths with 828896328
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