82380648
82,380,648 is an even composite number composed of six prime numbers multiplied together.
82380648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 82380648:
23 × 3 × 7 × 29 × 37 × 457
(2 × 2 × 2 × 3 × 7 × 29 × 37 × 457)See below for interesting mathematical facts about the number 82380648 from the Numbermatics database.
Names of 82380648
- Cardinal: 82380648 can be written as Eighty-two million, three hundred eighty thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 8.2380648 × 107
Factors of 82380648
Divisors of 82380648
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 203 222 232 259 296 348 406 444 457 518 609 696 777 812 888 914 1036 1073 1218 1371 1554 1624 1828 2072 2146 2436 2742 3108 3199 3219 3656 4292 4872 5484 6216 6398 6438 7511 8584 9597 10968 12796 12876 13253 15022 16909 19194 22533 25592 25752 26506 30044 33818 38388 39759 45066 50727 53012 60088 67636 76776 79518 90132 92771 101454 106024 118363 135272 159036 180264 185542 202908 236726 278313 318072 355089 371084 405816 473452 490361 556626 710178 742168 946904 980722 1113252 1420356 1471083 1961444 2226504 2840712 2942166 3432527 3922888 5884332 6865054 10297581 11768664 13730108 20595162 27460216 41190324 82380648
- Sum of all divisors σ(n): 250617600
- Sum of proper divisors (its aliquot sum) s(n): 168236952
- 82380648 is an abundant number, because the sum of its proper divisors (168236952) is greater than itself. Its abundance is 85856304
Bases of 82380648
- Binary: 1001110100100000111011010002
- Hexadecimal: 0x4E90768
- Base-36: 1D1PBC
Squares and roots of 82380648
- 82380648 squared (823806482) is 6786571164899904
- 82380648 cubed (823806483) is 559082130262568946657792
-
The
square root of 82380648 is 9076.3785729773 -
The
cube root of 82380648 is 435.1193542221
Scales and comparisons
How big is 82380648?- 82,380,648 seconds is equal to 2 years, 32 weeks, 1 day, 11 hours, 30 minutes, 48 seconds.
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To count from 1 to 82,380,648 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 82380648 cubic inches would be around 36.3 feet tall.
Recreational maths with 82380648
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