82048800
82,048,800 is an even composite number composed of five prime numbers multiplied together.
82048800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 82048800:
25 × 3 × 52 × 17 × 2011
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 2011)See below for interesting mathematical facts about the number 82048800 from the Numbermatics database.
Names of 82048800
- Cardinal: 82048800 can be written as Eighty-two million, forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 8.20488 × 107
Factors of 82048800
Divisors of 82048800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2011 2040 2400 2550 2720 3400 4022 4080 5100 6033 6800 8044 8160 10055 10200 12066 13600 16088 20110 20400 24132 30165 32176 34187 40220 40800 48264 50275 60330 64352 68374 80440 96528 100550 102561 120660 136748 150825 160880 170935 193056 201100 205122 241320 273496 301650 321760 341870 402200 410244 482640 512805 546992 603300 683740 804400 820488 854675 965280 1025610 1093984 1206600 1367480 1608800 1640976 1709350 2051220 2413200 2564025 2734960 3281952 3418700 4102440 4826400 5128050 5469920 6837400 8204880 10256100 13674800 16409760 20512200 27349600 41024400 82048800
- Sum of all divisors σ(n): 282919392
- Sum of proper divisors (its aliquot sum) s(n): 200870592
- 82048800 is an abundant number, because the sum of its proper divisors (200870592) is greater than itself. Its abundance is 118821792
Bases of 82048800
- Binary: 1001110001111110111001000002
- Hexadecimal: 0x4E3F720
- Base-36: 1CUL9C
Squares and roots of 82048800
- 82048800 squared (820488002) is 6732005581440000
- 82048800 cubed (820488003) is 552352979550454272000000
-
The
square root of 82048800 is 9058.0792665995 -
The
cube root of 82048800 is 434.5343146961
Scales and comparisons
How big is 82048800?- 82,048,800 seconds is equal to 2 years, 31 weeks, 4 days, 15 hours, 20 minutes.
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To count from 1 to 82,048,800 would take you about three 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 82048800 cubic inches would be around 36.2 feet tall.
Recreational maths with 82048800
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