48761664
48,761,664 is an even composite number composed of five prime numbers multiplied together.
48761664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 48761664:
26 × 3 × 72 × 71 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 71 × 73)See below for interesting mathematical facts about the number 48761664 from the Numbermatics database.
Names of 48761664
- Cardinal: 48761664 can be written as Forty-eight million, seven hundred sixty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.8761664 × 107
Factors of 48761664
Divisors of 48761664
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 71 73 84 96 98 112 142 146 147 168 192 196 213 219 224 284 292 294 336 392 426 438 448 497 511 568 584 588 672 784 852 876 994 1022 1136 1168 1176 1344 1491 1533 1568 1704 1752 1988 2044 2272 2336 2352 2982 3066 3136 3408 3479 3504 3577 3976 4088 4544 4672 4704 5183 5964 6132 6816 6958 7008 7154 7952 8176 9408 10366 10437 10731 11928 12264 13632 13916 14016 14308 15549 15904 16352 20732 20874 21462 23856 24528 27832 28616 31098 31808 32704 36281 41464 41748 42924 47712 49056 55664 57232 62196 72562 82928 83496 85848 95424 98112 108843 111328 114464 124392 145124 165856 166992 171696 217686 222656 228928 248784 253967 290248 331712 333984 343392 435372 497568 507934 580496 667968 686784 761901 870744 995136 1015868 1160992 1523802 1741488 2031736 2321984 3047604 3482976 4063472 6095208 6965952 8126944 12190416 16253888 24380832 48761664
- Sum of all divisors σ(n): 154277568
- Sum of proper divisors (its aliquot sum) s(n): 105515904
- 48761664 is an abundant number, because the sum of its proper divisors (105515904) is greater than itself. Its abundance is 56754240
Bases of 48761664
- Binary: 101110100000001011010000002
- Hexadecimal: 0x2E80B40
- Base-36: T14QO
Squares and roots of 48761664
- 48761664 squared (487616642) is 2377699876048896
- 48761664 cubed (487616643) is 115940602448737914322944
-
The
square root of 48761664 is 6982.9552483171 -
The
cube root of 48761664 is 365.3363110323
Scales and comparisons
How big is 48761664?- 48,761,664 seconds is equal to 1 year, 28 weeks, 4 days, 8 hours, 54 minutes, 24 seconds.
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To count from 1 to 48,761,664 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 48761664 cubic inches would be around 30.4 feet tall.
Recreational maths with 48761664
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