493629920
493,629,920 is an even composite number composed of five prime numbers multiplied together.
493629920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 493629920:
25 × 5 × 72 × 79 × 797
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 79 × 797)See below for interesting mathematical facts about the number 493629920 from the Numbermatics database.
Names of 493629920
- Cardinal: 493629920 can be written as Four hundred ninety-three million, six hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.9362992 × 108
Factors of 493629920
Divisors of 493629920
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 79 80 98 112 140 158 160 196 224 245 280 316 392 395 490 553 560 632 784 790 797 980 1106 1120 1264 1568 1580 1594 1960 2212 2528 2765 3160 3188 3871 3920 3985 4424 5530 5579 6320 6376 7742 7840 7970 8848 11060 11158 12640 12752 15484 15940 17696 19355 22120 22316 25504 27895 30968 31880 38710 39053 44240 44632 55790 61936 62963 63760 77420 78106 88480 89264 111580 123872 125926 127520 154840 156212 178528 195265 223160 251852 309680 312424 314815 390530 440741 446320 503704 619360 624848 629630 781060 881482 892640 1007408 1249696 1259260 1562120 1762964 2014816 2203705 2518520 3085187 3124240 3525928 4407410 5037040 6170374 6248480 7051856 8814820 10074080 12340748 14103712 15425935 17629640 24681496 30851870 35259280 49362992 61703740 70518560 98725984 123407480 246814960 493629920
- Sum of all divisors σ(n): 1375496640
- Sum of proper divisors (its aliquot sum) s(n): 881866720
- 493629920 is an abundant number, because the sum of its proper divisors (881866720) is greater than itself. Its abundance is 388236800
Bases of 493629920
- Binary: 111010110110000110001111000002
- Hexadecimal: 0x1D6C31E0
- Base-36: 85W7A8
Squares and roots of 493629920
- 493629920 squared (4936299202) is 243670497919206400
- 493629920 cubed (4936299203) is 120283048394218021695488000
-
The
square root of 493629920 is 22217.7838678839 -
The
cube root of 493629920 is 790.3154858085
Scales and comparisons
How big is 493629920?- 493,629,920 seconds is equal to 15 years, 36 weeks, 1 day, 7 hours, 25 minutes, 20 seconds.
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To count from 1 to 493,629,920 would take you about twenty-three 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 493629920 cubic inches would be around 65.9 feet tall.
Recreational maths with 493629920
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