48128960
48,128,960 is an even composite number composed of four prime numbers multiplied together.
48128960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 48128960:
26 × 5 × 113 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 113)See below for interesting mathematical facts about the number 48128960 from the Numbermatics database.
Names of 48128960
- Cardinal: 48128960 can be written as Forty-eight million, one hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.812896 × 107
Factors of 48128960
Divisors of 48128960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 121 160 176 220 226 242 320 352 440 452 484 565 605 704 880 904 968 1130 1210 1243 1331 1760 1808 1936 2260 2420 2486 2662 3520 3616 3872 4520 4840 4972 5324 6215 6655 7232 7744 9040 9680 9944 10648 12430 13310 13673 18080 19360 19888 21296 24860 26620 27346 36160 38720 39776 42592 49720 53240 54692 68365 79552 85184 99440 106480 109384 136730 150403 198880 212960 218768 273460 300806 397760 425920 437536 546920 601612 752015 875072 1093840 1203224 1504030 2187680 2406448 3008060 4375360 4812896 6016120 9625792 12032240 24064480 48128960
- Sum of all divisors σ(n): 127174752
- Sum of proper divisors (its aliquot sum) s(n): 79045792
- 48128960 is an abundant number, because the sum of its proper divisors (79045792) is greater than itself. Its abundance is 30916832
Bases of 48128960
- Binary: 101101111001100011110000002
- Hexadecimal: 0x2DE63C0
- Base-36: SNKJK
Squares and roots of 48128960
- 48128960 squared (481289602) is 2316396790681600
- 48128960 cubed (481289603) is 111485768482843099136000
-
The
square root of 48128960 is 6937.5038738727 -
The
cube root of 48128960 is 363.7492940157
Scales and comparisons
How big is 48128960?- 48,128,960 seconds is equal to 1 year, 27 weeks, 4 days, 1 hour, 9 minutes, 20 seconds.
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To count from 1 to 48,128,960 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 48128960 cubic inches would be around 30.3 feet tall.
Recreational maths with 48128960
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