48132864
48,132,864 is an even composite number composed of four prime numbers multiplied together.
48132864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 48132864:
28 × 32 × 13 × 1607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 1607)See below for interesting mathematical facts about the number 48132864 from the Numbermatics database.
Names of 48132864
- Cardinal: 48132864 can be written as Forty-eight million, one hundred thirty-two thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.8132864 × 107
Factors of 48132864
Divisors of 48132864
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1607 1664 1872 2304 2496 3214 3328 3744 4821 4992 6428 7488 9642 9984 12856 14463 14976 19284 20891 25712 28926 29952 38568 41782 51424 57852 62673 77136 83564 102848 115704 125346 154272 167128 188019 205696 231408 250692 308544 334256 376038 411392 462816 501384 617088 668512 752076 925632 1002768 1234176 1337024 1504152 1851264 2005536 2674048 3008304 3702528 4011072 5348096 6016608 8022144 12033216 16044288 24066432 48132864
- Sum of all divisors σ(n): 149547216
- Sum of proper divisors (its aliquot sum) s(n): 101414352
- 48132864 is an abundant number, because the sum of its proper divisors (101414352) is greater than itself. Its abundance is 53281488
Bases of 48132864
- Binary: 101101111001110011000000002
- Hexadecimal: 0x2DE7300
- Base-36: SNNK0
Squares and roots of 48132864
- 48132864 squared (481328642) is 2316772596842496
- 48132864 cubed (481328643) is 111512900322746689388544
-
The
square root of 48132864 is 6937.7852373793 -
The
cube root of 48132864 is 363.7591289735
Scales and comparisons
How big is 48132864?- 48,132,864 seconds is equal to 1 year, 27 weeks, 4 days, 2 hours, 14 minutes, 24 seconds.
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To count from 1 to 48,132,864 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 48132864 cubic inches would be around 30.3 feet tall.
Recreational maths with 48132864
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