488286225
488,286,225 is an odd composite number composed of five prime numbers multiplied together.
488286225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 488286225:
34 × 52 × 73 × 19 × 37
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 19 × 37)See below for interesting mathematical facts about the number 488286225 from the Numbermatics database.
Names of 488286225
- Cardinal: 488286225 can be written as Four hundred eighty-eight million, two hundred eighty-six thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 4.88286225 × 108
Factors of 488286225
Divisors of 488286225
- Number of divisors d(n): 240
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Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 35 37 45 49 57 63 75 81 95 105 111 133 135 147 171 175 185 189 225 245 259 285 315 333 343 399 405 441 475 513 525 555 567 665 675 703 735 777 855 925 931 945 999 1029 1197 1225 1295 1323 1425 1539 1575 1665 1715 1813 1995 2025 2109 2205 2331 2565 2775 2793 2835 2997 3087 3325 3515 3591 3675 3885 3969 4275 4655 4725 4921 4995 5145 5439 5985 6327 6475 6517 6615 6993 7695 8325 8379 8575 9065 9261 9975 10545 10773 11025 11655 12691 12825 13965 14175 14763 14985 15435 16317 17575 17955 18981 19425 19551 19845 20979 23275 24605 24975 25137 25725 27195 27783 29925 31635 32585 33075 34447 34965 38073 38475 41895 44289 45325 46305 48951 52725 53865 56943 58275 58653 63455 69825 73815 74925 75411 77175 81585 89775 94905 97755 99225 103341 104895 114219 123025 125685 132867 135975 138915 146853 158175 162925 172235 174825 175959 190365 209475 221445 231525 241129 244755 269325 284715 293265 310023 317275 342657 369075 377055 398601 407925 474525 488775 516705 524475 527877 571095 628425 664335 694575 723387 734265 861175 879795 930069 951825 1027971 1107225 1205645 1223775 1423575 1466325 1550115 1713285 1885275 1993005 2170161 2583525 2639385 2790207 2855475 3321675 3616935 3671325 4398975 4650345 5139855 6028225 6510483 7750575 8566425 9965025 10850805 13196925 13951035 18084675 19531449 23251725 25699275 32552415 54254025 69755175 97657245 162762075 488286225
- Sum of all divisors σ(n): 1140304000
- Sum of proper divisors (its aliquot sum) s(n): 652017775
- 488286225 is an abundant number, because the sum of its proper divisors (652017775) is greater than itself. Its abundance is 163731550
Bases of 488286225
- Binary: 111010001101010101000000100012
- Hexadecimal: 0x1D1AA811
- Base-36: 82PO29
Squares and roots of 488286225
- 488286225 squared (4882862252) is 238423437524750625
- 488286225 cubed (4882862253) is 116418880260483826747640625
-
The
square root of 488286225 is 22097.1994831925 -
The
cube root of 488286225 is 787.4533305677
Scales and comparisons
How big is 488286225?- 488,286,225 seconds is equal to 15 years, 27 weeks, 2 days, 11 hours, 3 minutes, 45 seconds.
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To count from 1 to 488,286,225 would take you about twenty-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 488286225 cubic inches would be around 65.6 feet tall.
Recreational maths with 488286225
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