48116800
48,116,800 is an even composite number composed of five prime numbers multiplied together.
48116800 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 48116800:
26 × 52 × 17 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 61)See below for interesting mathematical facts about the number 48116800 from the Numbermatics database.
Names of 48116800
- Cardinal: 48116800 can be written as Forty-eight million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 4.81168 × 107
Factors of 48116800
Divisors of 48116800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 61 64 68 80 85 100 116 122 136 145 160 170 200 232 244 272 290 305 320 340 400 425 464 488 493 544 580 610 680 725 800 850 928 976 986 1037 1088 1160 1220 1360 1450 1525 1600 1700 1769 1856 1952 1972 2074 2320 2440 2465 2720 2900 3050 3400 3538 3904 3944 4148 4640 4880 4930 5185 5440 5800 6100 6800 7076 7888 8296 8845 9280 9760 9860 10370 11600 12200 12325 13600 14152 15776 16592 17690 19520 19720 20740 23200 24400 24650 25925 27200 28304 30073 31552 33184 35380 39440 41480 44225 46400 48800 49300 51850 56608 60146 66368 70760 78880 82960 88450 97600 98600 103700 113216 120292 141520 150365 157760 165920 176900 197200 207400 240584 283040 300730 331840 353800 394400 414800 481168 566080 601460 707600 751825 788800 829600 962336 1202920 1415200 1503650 1659200 1924672 2405840 2830400 3007300 4811680 6014600 9623360 12029200 24058400 48116800
- Sum of all divisors σ(n): 131810760
- Sum of proper divisors (its aliquot sum) s(n): 83693960
- 48116800 is an abundant number, because the sum of its proper divisors (83693960) is greater than itself. Its abundance is 35577160
Bases of 48116800
- Binary: 101101111000110100010000002
- Hexadecimal: 0x2DE3440
- Base-36: SNB5S
Squares and roots of 48116800
- 48116800 squared (481168002) is 2315226442240000
- 48116800 cubed (481168003) is 111401287675973632000000
-
The
square root of 48116800 is 6936.6274226025 -
The
cube root of 48116800 is 363.7186571325
Scales and comparisons
How big is 48116800?- 48,116,800 seconds is equal to 1 year, 27 weeks, 3 days, 21 hours, 46 minutes, 40 seconds.
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To count from 1 to 48,116,800 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 48116800 cubic inches would be around 30.3 feet tall.
Recreational maths with 48116800
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