48960
48,960 is an even composite number composed of four prime numbers multiplied together.
48960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 48960:
26 × 32 × 5 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17)See below for interesting mathematical facts about the number 48960 from the Numbermatics database.
Names of 48960
- Cardinal: 48960 can be written as Forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.896 × 104
Factors of 48960
Divisors of 48960
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 85 90 96 102 120 136 144 153 160 170 180 192 204 240 255 272 288 306 320 340 360 408 480 510 544 576 612 680 720 765 816 960 1020 1088 1224 1360 1440 1530 1632 2040 2448 2720 2880 3060 3264 4080 4896 5440 6120 8160 9792 12240 16320 24480 48960
- Sum of all divisors σ(n): 178308
- Sum of proper divisors (its aliquot sum) s(n): 129348
- 48960 is an abundant number, because the sum of its proper divisors (129348) is greater than itself. Its abundance is 80388
Bases of 48960
- Binary: 10111111010000002
- Hexadecimal: 0xBF40
- Base-36: 11S0
Squares and roots of 48960
- 48960 squared (489602) is 2397081600
- 48960 cubed (489603) is 117361115136000
-
The
square root of 48960 is 221.2690669751 -
The
cube root of 48960 is 36.5830970951
Scales and comparisons
How big is 48960?- 48,960 seconds is equal to 13 hours, 36 minutes.
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To count from 1 to 48,960 would take you about thirteen hours.
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 48960 cubic inches would be around 3 feet tall.
Recreational maths with 48960
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The information we have on file for 48960 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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