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45659712 = 263753641
BaseRepresentation
bin1010111000101…
…1011001000000
310011220202100110
42232023121000
543142102322
64310351320
71063046460
oct256133100
9104822313
1045659712
11238568aa
121335b540
1395c89a7
1460c7ba0
15401dc0c
hex2b8b640

45659712 has 112 divisors (see below), whose sum is σ = 140890752. Its totient is φ = 12779520.

The previous prime is 45659707. The next prime is 45659737. The reversal of 45659712 is 21795654.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70912 + ... + 71552.

Almost surely, 245659712 is an apocalyptic number.

45659712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45659712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70445376).

45659712 is an abundant number, since it is smaller than the sum of its proper divisors (95231040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45659712 is a wasteful number, since it uses less digits than its factorization.

45659712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 45659712 is about 6757.1970520327. The cubic root of 45659712 is about 357.4190717755.

The spelling of 45659712 in words is "forty-five million, six hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 641 672 742 848 1113 1272 1282 1344 1484 1696 1923 2226 2544 2564 2968 3392 3846 4452 4487 5088 5128 5936 7692 8904 8974 10176 10256 11872 13461 15384 17808 17948 20512 23744 26922 30768 33973 35616 35896 41024 53844 61536 67946 71232 71792 101919 107688 123072 135892 143584 203838 215376 237811 271784 287168 407676 430752 475622 543568 713433 815352 861504 951244 1087136 1426866 1630704 1902488 2174272 2853732 3261408 3804976 5707464 6522816 7609952 11414928 15219904 22829856 45659712