82304442
82,304,442 is an even composite number composed of six prime numbers multiplied together.
82304442 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 82304442:
2 × 32 × 112 × 23 × 31 × 53
(2 × 3 × 3 × 11 × 11 × 23 × 31 × 53)See below for interesting mathematical facts about the number 82304442 from the Numbermatics database.
Names of 82304442
- Cardinal: 82304442 can be written as Eighty-two million, three hundred four thousand, four hundred forty-two.
Scientific notation
- Scientific notation: 8.2304442 × 107
Factors of 82304442
Divisors of 82304442
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 9 11 18 22 23 31 33 46 53 62 66 69 93 99 106 121 138 159 186 198 207 242 253 279 318 341 363 414 477 506 558 583 682 713 726 759 954 1023 1089 1166 1219 1426 1518 1643 1749 2046 2139 2178 2277 2438 2783 3069 3286 3498 3657 3751 4278 4554 4929 5247 5566 6138 6413 6417 7314 7502 7843 8349 9858 10494 10971 11253 12826 12834 13409 14787 15686 16698 18073 19239 21942 22506 23529 25047 26818 29574 33759 36146 37789 38478 40227 47058 50094 54219 57717 67518 70587 75578 80454 86273 108438 113367 115434 120681 141174 147499 162657 172546 198803 226734 241362 258819 294998 325314 340101 397606 415679 442497 517638 596409 680202 776457 831358 884994 1192818 1247037 1327491 1552914 1789227 2494074 2654982 3578454 3741111 4572469 7482222 9144938 13717407 27434814 41152221 82304442
- Sum of all divisors σ(n): 215115264
- Sum of proper divisors (its aliquot sum) s(n): 132810822
- 82304442 is an abundant number, because the sum of its proper divisors (132810822) is greater than itself. Its abundance is 50506380
Bases of 82304442
- Binary: 1001110011111011101101110102
- Hexadecimal: 0x4E7DDBA
- Base-36: 1D02II
Squares and roots of 82304442
- 82304442 squared (823044422) is 6774021172931364
- 82304442 cubed (823044423) is 557532032734301418318888
-
The
square root of 82304442 is 9072.1795617151 -
The
cube root of 82304442 is 434.9851441617
Scales and comparisons
How big is 82304442?- 82,304,442 seconds is equal to 2 years, 32 weeks, 14 hours, 20 minutes, 42 seconds.
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To count from 1 to 82,304,442 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 82304442 cubic inches would be around 36.2 feet tall.
Recreational maths with 82304442
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