48813120
48,813,120 is an even composite number composed of five prime numbers multiplied together.
48813120 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 48813120:
26 × 32 × 5 × 17 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 997)See below for interesting mathematical facts about the number 48813120 from the Numbermatics database.
Names of 48813120
- Cardinal: 48813120 can be written as Forty-eight million, eight hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.881312 × 107
Factors of 48813120
Divisors of 48813120
- Number of divisors d(n): 168
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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 96 102 120 136 144 153 160 170 180 192 204 240 255 272 288 306 320 340 360 408 480 510 544 576 612 680 720 765 816 960 997 1020 1088 1224 1360 1440 1530 1632 1994 2040 2448 2720 2880 2991 3060 3264 3988 4080 4896 4985 5440 5982 6120 7976 8160 8973 9792 9970 11964 12240 14955 15952 16320 16949 17946 19940 23928 24480 29910 31904 33898 35892 39880 44865 47856 48960 50847 59820 63808 67796 71784 79760 84745 89730 95712 101694 119640 135592 143568 152541 159520 169490 179460 191424 203388 239280 254235 271184 287136 305082 319040 338980 358920 406776 478560 508470 542368 574272 610164 677960 717840 762705 813552 957120 1016940 1084736 1220328 1355920 1435680 1525410 1627104 2033880 2440656 2711840 2871360 3050820 3254208 4067760 4881312 5423680 6101640 8135520 9762624 12203280 16271040 24406560 48813120
- Sum of all divisors σ(n): 177951384
- Sum of proper divisors (its aliquot sum) s(n): 129138264
- 48813120 is an abundant number, because the sum of its proper divisors (129138264) is greater than itself. Its abundance is 80325144
Bases of 48813120
- Binary: 101110100011010100010000002
- Hexadecimal: 0x2E8D440
- Base-36: T28G0
Squares and roots of 48813120
- 48813120 squared (488131202) is 2382720684134400
- 48813120 cubed (488131203) is 116308030681134563328000
-
The
square root of 48813120 is 6986.6386767887 -
The
cube root of 48813120 is 365.4647735379
Scales and comparisons
How big is 48813120?- 48,813,120 seconds is equal to 1 year, 28 weeks, 4 days, 23 hours, 12 minutes.
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To count from 1 to 48,813,120 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 48813120 cubic inches would be around 30.5 feet tall.
Recreational maths with 48813120
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