29968224
29,968,224 is an even composite number composed of six prime numbers multiplied together.
29968224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 29968224:
25 × 3 × 11 × 13 × 37 × 59
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 37 × 59)See below for interesting mathematical facts about the number 29968224 from the Numbermatics database.
Names of 29968224
- Cardinal: 29968224 can be written as Twenty-nine million, nine hundred sixty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 2.9968224 × 107
Factors of 29968224
Divisors of 29968224
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 37 39 44 48 52 59 66 74 78 88 96 104 111 118 132 143 148 156 176 177 208 222 236 264 286 296 312 352 354 407 416 429 444 472 481 528 572 592 624 649 708 767 814 858 888 944 962 1056 1144 1184 1221 1248 1298 1416 1443 1534 1628 1716 1776 1888 1924 1947 2183 2288 2301 2442 2596 2832 2886 3068 3256 3432 3552 3848 3894 4366 4576 4602 4884 5192 5291 5664 5772 6136 6512 6549 6864 7696 7788 8437 8732 9204 9768 10384 10582 11544 12272 13024 13098 13728 15392 15576 15873 16874 17464 18408 19536 20768 21164 23088 24013 24544 25311 26196 28379 31152 31746 33748 34928 36816 39072 42328 46176 48026 50622 52392 56758 62304 63492 67496 69856 72039 73632 84656 85137 96052 101244 104784 113516 126984 134992 144078 169312 170274 192104 202488 209568 227032 253968 269984 288156 312169 340548 384208 404976 454064 507936 576312 624338 681096 768416 809952 908128 936507 1152624 1248676 1362192 1873014 2305248 2497352 2724384 3746028 4994704 7492056 9989408 14984112 29968224
- Sum of all divisors σ(n): 96526080
- Sum of proper divisors (its aliquot sum) s(n): 66557856
- 29968224 is an abundant number, because the sum of its proper divisors (66557856) is greater than itself. Its abundance is 36589632
Bases of 29968224
- Binary: 11100100101000111011000002
- Hexadecimal: 0x1C94760
- Base-36: HUBMO
Squares and roots of 29968224
- 29968224 squared (299682242) is 898094449714176
- 29968224 cubed (299682243) is 26914295642191162343424
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The
square root of 29968224 is 5474.3240678645 -
The
cube root of 29968224 is 310.6135058167
Scales and comparisons
How big is 29968224?- 29,968,224 seconds is equal to 49 weeks, 3 days, 20 hours, 30 minutes, 24 seconds.
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To count from 1 to 29,968,224 would take you about twenty-two weeks!
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 29968224 cubic inches would be around 25.9 feet tall.
Recreational maths with 29968224
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