828162225
828,162,225 is an odd composite number composed of four prime numbers multiplied together.
828162225 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 828162225:
311 × 52 × 11 × 17
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 17)See below for interesting mathematical facts about the number 828162225 from the Numbermatics database.
Names of 828162225
- Cardinal: 828162225 can be written as Eight hundred twenty-eight million, one hundred sixty-two thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 8.28162225 × 108
Factors of 828162225
Divisors of 828162225
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 9 11 15 17 25 27 33 45 51 55 75 81 85 99 135 153 165 187 225 243 255 275 297 405 425 459 495 561 675 729 765 825 891 935 1215 1275 1377 1485 1683 2025 2187 2295 2475 2673 2805 3645 3825 4131 4455 4675 5049 6075 6561 6885 7425 8019 8415 10935 11475 12393 13365 14025 15147 18225 19683 20655 22275 24057 25245 32805 34425 37179 40095 42075 45441 54675 59049 61965 66825 72171 75735 98415 103275 111537 120285 126225 136323 164025 177147 185895 200475 216513 227205 295245 309825 334611 360855 378675 408969 492075 557685 601425 649539 681615 885735 929475 1003833 1082565 1136025 1226907 1476225 1673055 1804275 1948617 2044845 2788425 3011499 3247695 3408075 3680721 4428675 5019165 5412825 6134535 8365275 9743085 10224225 11042163 15057495 16238475 18403605 25095825 30672675 33126489 48715425 55210815 75287475 92018025 165632445 276054075 828162225
- Sum of all divisors σ(n): 1779261120
- Sum of proper divisors (its aliquot sum) s(n): 951098895
- 828162225 is an abundant number, because the sum of its proper divisors (951098895) is greater than itself. Its abundance is 122936670
Bases of 828162225
- Binary: 1100010101110011000000101100012
- Hexadecimal: 0x315CC0B1
- Base-36: DP2E29
Squares and roots of 828162225
- 828162225 squared (8281622252) is 685852670916950625
- 828162225 cubed (8281622253) is 567997273968774619815140625
-
The
square root of 828162225 is 28777.8078560545 -
The
cube root of 828162225 is 939.0855090601
Scales and comparisons
How big is 828162225?- 828,162,225 seconds is equal to 26 years, 17 weeks, 2 days, 5 hours, 3 minutes, 45 seconds.
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To count from 1 to 828,162,225 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 828162225 cubic inches would be around 78.3 feet tall.
Recreational maths with 828162225
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