828428700
828,428,700 is an even composite number composed of six prime numbers multiplied together.
828428700 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 828428700:
22 × 3 × 52 × 11 × 17 × 14767
(2 × 2 × 3 × 5 × 5 × 11 × 17 × 14767)See below for interesting mathematical facts about the number 828428700 from the Numbermatics database.
Names of 828428700
- Cardinal: 828428700 can be written as Eight hundred twenty-eight million, four hundred twenty-eight thousand, seven hundred.
Scientific notation
- Scientific notation: 8.284287 × 108
Factors of 828428700
Divisors of 828428700
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 14767 18700 28050 29534 44301 56100 59068 73835 88602 147670 162437 177204 221505 251039 295340 324874 369175 443010 487311 502078 649748 738350 753117 812185 886020 974622 1004156 1107525 1255195 1476700 1506234 1624370 1949244 2215050 2436555 2510390 2761429 3012468 3248740 3765585 4060925 4430100 4873110 5020780 5522858 6275975 7531170 8121850 8284287 9746220 11045716 12182775 12551950 13807145 15062340 16243700 16568574 18827925 24365550 25103900 27614290 33137148 37655850 41421435 48731100 55228580 69035725 75311700 82842870 138071450 165685740 207107175 276142900 414214350 828428700
- Sum of all divisors σ(n): 2768822784
- Sum of proper divisors (its aliquot sum) s(n): 1940394084
- 828428700 is an abundant number, because the sum of its proper divisors (1940394084) is greater than itself. Its abundance is 1111965384
Bases of 828428700
- Binary: 1100010110000011010001100111002
- Hexadecimal: 0x3160D19C
- Base-36: DP83OC
Squares and roots of 828428700
- 828428700 squared (8284287002) is 686294110983690000
- 828428700 cubed (8284287003) is 568545738179874027903000000
-
The
square root of 828428700 is 28782.4373533583 -
The
cube root of 828428700 is 939.1862203975
Scales and comparisons
How big is 828428700?- 828,428,700 seconds is equal to 26 years, 17 weeks, 5 days, 7 hours, 5 minutes.
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To count from 1 to 828,428,700 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 828428700 cubic inches would be around 78.3 feet tall.
Recreational maths with 828428700
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