45629920
45,629,920 is an even composite number composed of five prime numbers multiplied together.
45629920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 45629920:
25 × 5 × 7 × 131 × 311
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 131 × 311)See below for interesting mathematical facts about the number 45629920 from the Numbermatics database.
Names of 45629920
- Cardinal: 45629920 can be written as Forty-five million, six hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.562992 × 107
Factors of 45629920
Divisors of 45629920
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 131 140 160 224 262 280 311 524 560 622 655 917 1048 1120 1244 1310 1555 1834 2096 2177 2488 2620 3110 3668 4192 4354 4585 4976 5240 6220 7336 8708 9170 9952 10480 10885 12440 14672 17416 18340 20960 21770 24880 29344 34832 36680 40741 43540 49760 69664 73360 81482 87080 146720 162964 174160 203705 285187 325928 348320 407410 570374 651856 814820 1140748 1303712 1425935 1629640 2281496 2851870 3259280 4562992 5703740 6518560 9125984 11407480 22814960 45629920
- Sum of all divisors σ(n): 124540416
- Sum of proper divisors (its aliquot sum) s(n): 78910496
- 45629920 is an abundant number, because the sum of its proper divisors (78910496) is greater than itself. Its abundance is 33280576
Bases of 45629920
- Binary: 101011100001000001111000002
- Hexadecimal: 0x2B841E0
- Base-36: R609S
Squares and roots of 45629920
- 45629920 squared (456299202) is 2082089599206400
- 45629920 cubed (456299203) is 95005581844620095488000
-
The
square root of 45629920 is 6754.9922279749 -
The
cube root of 45629920 is 357.3413187245
Scales and comparisons
How big is 45629920?- 45,629,920 seconds is equal to 1 year, 23 weeks, 3 days, 2 hours, 58 minutes, 40 seconds.
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To count from 1 to 45,629,920 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 45629920 cubic inches would be around 29.8 feet tall.
Recreational maths with 45629920
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