48728120
48,728,120 is an even composite number composed of six prime numbers multiplied together.
48728120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 48728120:
23 × 5 × 7 × 17 × 29 × 353
(2 × 2 × 2 × 5 × 7 × 17 × 29 × 353)See below for interesting mathematical facts about the number 48728120 from the Numbermatics database.
Names of 48728120
- Cardinal: 48728120 can be written as Forty-eight million, seven hundred twenty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.872812 × 107
Factors of 48728120
Divisors of 48728120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 7 8 10 14 17 20 28 29 34 35 40 56 58 68 70 85 116 119 136 140 145 170 203 232 238 280 290 340 353 406 476 493 580 595 680 706 812 952 986 1015 1160 1190 1412 1624 1765 1972 2030 2380 2465 2471 2824 3451 3530 3944 4060 4760 4930 4942 6001 6902 7060 8120 9860 9884 10237 12002 12355 13804 14120 17255 19720 19768 20474 24004 24710 27608 30005 34510 40948 42007 48008 49420 51185 60010 69020 71659 81896 84014 98840 102370 120020 138040 143318 168028 174029 204740 210035 240040 286636 336056 348058 358295 409480 420070 573272 696116 716590 840140 870145 1218203 1392232 1433180 1680280 1740290 2436406 2866360 3480580 4872812 6091015 6961160 9745624 12182030 24364060 48728120
- Sum of all divisors σ(n): 137635200
- Sum of proper divisors (its aliquot sum) s(n): 88907080
- 48728120 is an abundant number, because the sum of its proper divisors (88907080) is greater than itself. Its abundance is 40178960
Bases of 48728120
- Binary: 101110011110001000001110002
- Hexadecimal: 0x2E78838
- Base-36: T0EUW
Squares and roots of 48728120
- 48728120 squared (487281202) is 2374429678734400
- 48728120 cubed (487281203) is 115701494316931291328000
-
The
square root of 48728120 is 6980.5529866909 -
The
cube root of 48728120 is 365.2525180727
Scales and comparisons
How big is 48728120?- 48,728,120 seconds is equal to 1 year, 28 weeks, 3 days, 23 hours, 35 minutes, 20 seconds.
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To count from 1 to 48,728,120 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 48728120 cubic inches would be around 30.4 feet tall.
Recreational maths with 48728120
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The information we have on file for 48728120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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