45476964
45,476,964 is an even composite number composed of five prime numbers multiplied together.
45476964 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 45476964:
22 × 35 × 13 × 59 × 61
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 59 × 61)See below for interesting mathematical facts about the number 45476964 from the Numbermatics database.
Names of 45476964
- Cardinal: 45476964 can be written as Forty-five million, four hundred seventy-six thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 4.5476964 × 107
Factors of 45476964
Divisors of 45476964
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 61 78 81 108 117 118 122 156 162 177 183 234 236 243 244 324 351 354 366 468 486 531 549 702 708 732 767 793 972 1053 1062 1098 1404 1534 1586 1593 1647 2106 2124 2196 2301 2379 3068 3159 3172 3186 3294 3599 4212 4602 4758 4779 4941 6318 6372 6588 6903 7137 7198 9204 9516 9558 9882 10797 12636 13806 14274 14337 14396 14823 19116 19764 20709 21411 21594 27612 28548 28674 29646 32391 41418 42822 43188 46787 57348 59292 62127 64233 64782 82836 85644 93574 97173 124254 128466 129564 140361 186381 187148 192699 194346 248508 256932 280722 291519 372762 385398 388692 421083 561444 583038 745524 770796 842166 874557 1166076 1263249 1684332 1749114 2526498 3498228 3789747 5052996 7579494 11369241 15158988 22738482 45476964
- Sum of all divisors σ(n): 132699840
- Sum of proper divisors (its aliquot sum) s(n): 87222876
- 45476964 is an abundant number, because the sum of its proper divisors (87222876) is greater than itself. Its abundance is 41745912
Bases of 45476964
- Binary: 101011010111101100011001002
- Hexadecimal: 0x2B5EC64
- Base-36: R2Q90
Squares and roots of 45476964
- 45476964 squared (454769642) is 2068154254657296
- 45476964 cubed (454769643) is 94053376585496682529344
-
The
square root of 45476964 is 6743.6610235095 -
The
cube root of 45476964 is 356.9415906135
Scales and comparisons
How big is 45476964?- 45,476,964 seconds is equal to 1 year, 23 weeks, 1 day, 8 hours, 29 minutes, 24 seconds.
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To count from 1 to 45,476,964 would take you about two 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 45476964 cubic inches would be around 29.7 feet tall.
Recreational maths with 45476964
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