820428750
820,428,750 is an even composite number composed of five prime numbers multiplied together.
820428750 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 820428750:
2 × 35 × 54 × 37 × 73
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 37 × 73)See below for interesting mathematical facts about the number 820428750 from the Numbermatics database.
Names of 820428750
- Cardinal: 820428750 can be written as Eight hundred twenty million, four hundred twenty-eight thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 8.2042875 × 108
Factors of 820428750
Divisors of 820428750
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 73 74 75 81 90 111 125 135 146 150 162 185 219 222 225 243 250 270 333 365 370 375 405 438 450 486 555 625 657 666 675 730 750 810 925 999 1095 1110 1125 1215 1250 1314 1350 1665 1825 1850 1875 1971 1998 2025 2190 2250 2430 2701 2775 2997 3285 3330 3375 3650 3750 3942 4050 4625 4995 5402 5475 5550 5625 5913 5994 6075 6570 6750 8103 8325 8991 9125 9250 9855 9990 10125 10950 11250 11826 12150 13505 13875 14985 16206 16425 16650 16875 17739 17982 18250 19710 20250 23125 24309 24975 27010 27375 27750 29565 29970 30375 32850 33750 35478 40515 41625 44955 45625 46250 48618 49275 49950 50625 54750 59130 60750 67525 69375 72927 74925 81030 82125 83250 88695 89910 91250 98550 101250 121545 124875 135050 136875 138750 145854 147825 149850 151875 164250 177390 202575 208125 218781 224775 243090 246375 249750 273750 295650 303750 337625 364635 374625 405150 410625 416250 437562 443475 449550 492750 607725 624375 656343 675250 729270 739125 749250 821250 886950 1012875 1093905 1123875 1215450 1231875 1248750 1312686 1478250 1688125 1823175 1873125 2025750 2187810 2217375 2247750 2463750 3038625 3281715 3376250 3646350 3695625 3746250 4434750 5064375 5469525 5619375 6077250 6563430 7391250 9115875 10128750 10939050 11086875 11238750 15193125 16408575 18231750 22173750 27347625 30386250 32817150 45579375 54695250 82042875 91158750 136738125 164085750 273476250 410214375 820428750
- Sum of all divisors σ(n): 2398219824
- Sum of proper divisors (its aliquot sum) s(n): 1577791074
- 820428750 is an abundant number, because the sum of its proper divisors (1577791074) is greater than itself. Its abundance is 757362324
Bases of 820428750
- Binary: 1100001110011010111111110011102
- Hexadecimal: 0x30E6BFCE
- Base-36: DKGMVI
Squares and roots of 820428750
- 820428750 squared (8204287502) is 673103333826562500
- 820428750 cubed (8204287503) is 552233326792159388671875000
-
The
square root of 820428750 is 28643.1274479587 -
The
cube root of 820428750 is 936.1532663221
Scales and comparisons
How big is 820428750?- 820,428,750 seconds is equal to 26 years, 4 weeks, 3 days, 16 hours, 52 minutes, 30 seconds.
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To count from 1 to 820,428,750 would take you about thirty-nine 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 820428750 cubic inches would be around 78 feet tall.
Recreational maths with 820428750
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