48461920
48,461,920 is an even composite number composed of five prime numbers multiplied together.
48461920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 48461920:
25 × 5 × 13 × 23 × 1013
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 23 × 1013)See below for interesting mathematical facts about the number 48461920 from the Numbermatics database.
Names of 48461920
- Cardinal: 48461920 can be written as Forty-eight million, four hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.846192 × 107
Factors of 48461920
Divisors of 48461920
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1013 1040 1196 1495 1840 2026 2080 2392 2990 3680 4052 4784 5065 5980 8104 9568 10130 11960 13169 16208 20260 23299 23920 26338 32416 40520 46598 47840 52676 65845 81040 93196 105352 116495 131690 162080 186392 210704 232990 263380 302887 372784 421408 465980 526760 605774 745568 931960 1053520 1211548 1514435 1863920 2107040 2423096 3028870 3727840 4846192 6057740 9692384 12115480 24230960 48461920
- Sum of all divisors σ(n): 128786112
- Sum of proper divisors (its aliquot sum) s(n): 80324192
- 48461920 is an abundant number, because the sum of its proper divisors (80324192) is greater than itself. Its abundance is 31862272
Bases of 48461920
- Binary: 101110001101111000011000002
- Hexadecimal: 0x2E37860
- Base-36: SUPGG
Squares and roots of 48461920
- 48461920 squared (484619202) is 2348557690086400
- 48461920 cubed (484619203) is 113815614892351909888000
-
The
square root of 48461920 is 6961.4596170631 -
The
cube root of 48461920 is 364.5861826679
Scales and comparisons
How big is 48461920?- 48,461,920 seconds is equal to 1 year, 28 weeks, 21 hours, 38 minutes, 40 seconds.
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To count from 1 to 48,461,920 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 48461920 cubic inches would be around 30.4 feet tall.
Recreational maths with 48461920
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