45425664
45,425,664 is an even composite number composed of four prime numbers multiplied together.
45425664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 45425664:
210 × 33 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 53)See below for interesting mathematical facts about the number 45425664 from the Numbermatics database.
Names of 45425664
- Cardinal: 45425664 can be written as Forty-five million, four hundred twenty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.5425664 × 107
Factors of 45425664
Divisors of 45425664
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 53 54 62 64 72 93 96 106 108 124 128 144 159 186 192 212 216 248 256 279 288 318 372 384 424 432 477 496 512 558 576 636 744 768 837 848 864 954 992 1024 1116 1152 1272 1431 1488 1536 1643 1674 1696 1728 1908 1984 2232 2304 2544 2862 2976 3072 3286 3348 3392 3456 3816 3968 4464 4608 4929 5088 5724 5952 6572 6696 6784 6912 7632 7936 8928 9216 9858 10176 11448 11904 13144 13392 13568 13824 14787 15264 15872 17856 19716 20352 22896 23808 26288 26784 27136 27648 29574 30528 31744 35712 39432 40704 44361 45792 47616 52576 53568 54272 59148 61056 71424 78864 81408 88722 91584 95232 105152 107136 118296 122112 142848 157728 162816 177444 183168 210304 214272 236592 244224 285696 315456 354888 366336 420608 428544 473184 488448 630912 709776 732672 841216 857088 946368 1261824 1419552 1465344 1682432 1892736 2523648 2839104 3785472 5047296 5678208 7570944 11356416 15141888 22712832 45425664
- Sum of all divisors σ(n): 141488640
- Sum of proper divisors (its aliquot sum) s(n): 96062976
- 45425664 is an abundant number, because the sum of its proper divisors (96062976) is greater than itself. Its abundance is 50637312
Bases of 45425664
- Binary: 101011010100100100000000002
- Hexadecimal: 0x2B52400
- Base-36: R1MO0
Squares and roots of 45425664
- 45425664 squared (454256642) is 2063490949840896
- 45425664 cubed (454256643) is 93735446554513395154944
-
The
square root of 45425664 is 6739.8563782917 -
The
cube root of 45425664 is 356.8073248847
Scales and comparisons
How big is 45425664?- 45,425,664 seconds is equal to 1 year, 23 weeks, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 45,425,664 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 45425664 cubic inches would be around 29.7 feet tall.
Recreational maths with 45425664
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