57329664
57,329,664 is an even composite number composed of five prime numbers multiplied together.
57329664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 57329664:
211 × 3 × 7 × 31 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 43)See below for interesting mathematical facts about the number 57329664 from the Numbermatics database.
Names of 57329664
- Cardinal: 57329664 can be written as Fifty-seven million, three hundred twenty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 5.7329664 × 107
Factors of 57329664
Divisors of 57329664
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 43 48 56 62 64 84 86 93 96 112 124 128 129 168 172 186 192 217 224 248 256 258 301 336 344 372 384 434 448 496 512 516 602 651 672 688 744 768 868 896 903 992 1024 1032 1204 1302 1333 1344 1376 1488 1536 1736 1792 1806 1984 2048 2064 2408 2604 2666 2688 2752 2976 3072 3472 3584 3612 3968 3999 4128 4816 5208 5332 5376 5504 5952 6144 6944 7168 7224 7936 7998 8256 9331 9632 10416 10664 10752 11008 11904 13888 14336 14448 15872 15996 16512 18662 19264 20832 21328 21504 22016 23808 27776 27993 28896 31744 31992 33024 37324 38528 41664 42656 43008 44032 47616 55552 55986 57792 63488 63984 66048 74648 77056 83328 85312 88064 95232 111104 111972 115584 127968 132096 149296 154112 166656 170624 190464 222208 223944 231168 255936 264192 298592 308224 333312 341248 444416 447888 462336 511872 597184 616448 666624 682496 895776 924672 1023744 1194368 1333248 1364992 1791552 1849344 2047488 2388736 2729984 3583104 4094976 4777472 7166208 8189952 9554944 14332416 19109888 28664832 57329664
- Sum of all divisors σ(n): 184504320
- Sum of proper divisors (its aliquot sum) s(n): 127174656
- 57329664 is an abundant number, because the sum of its proper divisors (127174656) is greater than itself. Its abundance is 69844992
Bases of 57329664
- Binary: 110110101011001000000000002
- Hexadecimal: 0x36AC800
- Base-36: Y4RUO
Squares and roots of 57329664
- 57329664 squared (573296642) is 3286690374352896
- 57329664 cubed (573296643) is 188424854833685745106944
-
The
square root of 57329664 is 7571.6354904339 -
The
cube root of 57329664 is 385.5906243595
Scales and comparisons
How big is 57329664?- 57,329,664 seconds is equal to 1 year, 42 weeks, 5 days, 12 hours, 54 minutes, 24 seconds.
-
To count from 1 to 57,329,664 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 57329664 cubic inches would be around 32.1 feet tall.
Recreational maths with 57329664
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