480997728
480,997,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 480997728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 108 divisors.
480997728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 480997728:
25 × 32 × 172 × 5779
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 5779)See below for interesting mathematical facts about the number 480997728 from the Numbermatics database.
Names of 480997728
- Cardinal: 480997728 can be written as Four hundred eighty million, nine hundred ninety-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.80997728 × 108
Factors of 480997728
Divisors of 480997728
- Number of divisors d(n): 108
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 5779 6936 9248 10404 11558 13872 17337 20808 23116 27744 34674 41616 46232 52011 69348 83232 92464 98243 104022 138696 184928 196486 208044 277392 294729 392972 416088 554784 589458 785944 832176 884187 1178916 1571888 1664352 1670131 1768374 2357832 3143776 3340262 3536748 4715664 5010393 6680524 7073496 9431328 10020786 13361048 14146992 15031179 20041572 26722096 28293984 30062358 40083144 53444192 60124716 80166288 120249432 160332576 240498864 480997728
- Sum of all divisors σ(n): 1453282740
- Sum of proper divisors (its aliquot sum) s(n): 972285012
- 480997728 is an abundant number, because the sum of its proper divisors (972285012) is greater than itself. Its abundance is 491287284
Bases of 480997728
- Binary: 111001010101101110001011000002
- Hexadecimal: 0x1CAB7160
- Base-36: 7YDG80
Squares and roots of 480997728
- 480997728 squared (4809977282) is 231358814341161984
- 480997728 cubed (4809977283) is 111283064050872731183972352
-
The
square root of 480997728 is 21931.6604022587 -
The
cube root of 480997728 is 783.5156490483
Scales and comparisons
How big is 480997728?- 480,997,728 seconds is equal to 15 years, 15 weeks, 2 days, 2 hours, 28 minutes, 48 seconds.
-
To count from 1 to 480,997,728 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 480997728 cubic inches would be around 65.3 feet tall.
Recreational maths with 480997728
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