480813408
480,813,408 is an even composite number composed of three prime numbers multiplied together.
480813408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 480813408:
25 × 36 × 20611
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 20611)See below for interesting mathematical facts about the number 480813408 from the Numbermatics database.
Names of 480813408
- Cardinal: 480813408 can be written as Four hundred eighty million, eight hundred thirteen thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.80813408 × 108
Factors of 480813408
Divisors of 480813408
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 20611 23328 41222 61833 82444 123666 164888 185499 247332 329776 370998 494664 556497 659552 741996 989328 1112994 1483992 1669491 1978656 2225988 2967984 3338982 4451976 5008473 5935968 6677964 8903952 10016946 13355928 15025419 17807904 20033892 26711856 30050838 40067784 53423712 60101676 80135568 120203352 160271136 240406704 480813408
- Sum of all divisors σ(n): 1419321708
- Sum of proper divisors (its aliquot sum) s(n): 938508300
- 480813408 is an abundant number, because the sum of its proper divisors (938508300) is greater than itself. Its abundance is 457694892
Bases of 480813408
- Binary: 111001010100010100001011000002
- Hexadecimal: 0x1CA8A160
- Base-36: 7Y9I00
Squares and roots of 480813408
- 480813408 squared (4808134082) is 231181533312574464
- 480813408 cubed (4808134083) is 111155180898684457289613312
-
The
square root of 480813408 is 21927.4578553921 -
The
cube root of 480813408 is 783.4155542891
Scales and comparisons
How big is 480813408?- 480,813,408 seconds is equal to 15 years, 14 weeks, 6 days, 23 hours, 16 minutes, 48 seconds.
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To count from 1 to 480,813,408 would take you about twenty-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 480813408 cubic inches would be around 65.3 feet tall.
Recreational maths with 480813408
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