48048
48,048 is an even composite number composed of five prime numbers multiplied together.
48048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 48048:
24 × 3 × 7 × 11 × 13
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 13)See below for interesting mathematical facts about the number 48048 from the Numbermatics database.
Names of 48048
- Cardinal: 48048 can be written as Forty-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 4.8048 × 104
Factors of 48048
Divisors of 48048
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048
- Sum of all divisors σ(n): 166656
- Sum of proper divisors (its aliquot sum) s(n): 118608
- 48048 is an abundant number, because the sum of its proper divisors (118608) is greater than itself. Its abundance is 70560
Bases of 48048
- Binary: 10111011101100002
- Hexadecimal: 0xBBB0
- Base-36: 112O
Squares and roots of 48048
- 48048 squared (480482) is 2308610304
- 48048 cubed (480483) is 110924107886592
-
The
square root of 48048 is 219.1985401411 -
The
cube root of 48048 is 36.3545219581
Scales and comparisons
How big is 48048?- 48,048 seconds is equal to 13 hours, 20 minutes, 48 seconds.
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To count from 1 to 48,048 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 48048 cubic inches would be around 3 feet tall.
Recreational maths with 48048
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The information we have on file for 48048 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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