48628125
48,628,125 is an odd composite number composed of five prime numbers multiplied together.
48628125 is an odd 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 48628125:
32 × 55 × 7 × 13 × 19
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 13 × 19)See below for interesting mathematical facts about the number 48628125 from the Numbermatics database.
Names of 48628125
- Cardinal: 48628125 can be written as Forty-eight million, six hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.8628125 × 107
Factors of 48628125
Divisors of 48628125
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 13 15 19 21 25 35 39 45 57 63 65 75 91 95 105 117 125 133 171 175 195 225 247 273 285 315 325 375 399 455 475 525 585 625 665 741 819 855 875 975 1125 1197 1235 1365 1425 1575 1625 1729 1875 1995 2223 2275 2375 2625 2925 3125 3325 3705 4095 4275 4375 4875 5187 5625 5985 6175 6825 7125 7875 8125 8645 9375 9975 11115 11375 11875 13125 14625 15561 16625 18525 20475 21375 21875 24375 25935 28125 29925 30875 34125 35625 39375 40625 43225 49875 55575 56875 59375 65625 73125 77805 83125 92625 102375 106875 121875 129675 149625 154375 170625 178125 196875 216125 249375 277875 284375 365625 389025 415625 463125 511875 534375 648375 748125 771875 853125 1080625 1246875 1389375 1945125 2315625 2559375 3241875 3740625 5403125 6946875 9725625 16209375 48628125
- Sum of all divisors σ(n): 113742720
- Sum of proper divisors (its aliquot sum) s(n): 65114595
- 48628125 is an abundant number, because the sum of its proper divisors (65114595) is greater than itself. Its abundance is 16486470
Bases of 48628125
- Binary: 101110011000000001100111012
- Hexadecimal: 0x2E6019D
- Base-36: SY9P9
Squares and roots of 48628125
- 48628125 squared (486281252) is 2364694541015625
- 48628125 cubed (486281253) is 114990661727325439453125
-
The
square root of 48628125 is 6973.3869102467 -
The
cube root of 48628125 is 365.0025020157
Scales and comparisons
How big is 48628125?- 48,628,125 seconds is equal to 1 year, 28 weeks, 2 days, 19 hours, 48 minutes, 45 seconds.
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To count from 1 to 48,628,125 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 48628125 cubic inches would be around 30.4 feet tall.
Recreational maths with 48628125
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The information we have on file for 48628125 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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