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45442656 = 2532722541
BaseRepresentation
bin1010110101011…
…0011001100000
310011111201121100
42231112121200
543113131111
64301554400
71061153610
oct255263140
9104451540
1045442656
1123718816
1213275a00
139550c5c
14606ca40
153ec9756
hex2b56660

45442656 has 72 divisors (see below), whose sum is σ = 147695184. Its totient is φ = 12983040.

The previous prime is 45442651. The next prime is 45442679. The reversal of 45442656 is 65624454.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45442656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45442651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9255 + ... + 13286.

It is an arithmetic number, because the mean of its divisors is an integer number (2051322).

Almost surely, 245442656 is an apocalyptic number.

It is an amenable number.

45442656 is an abundant number, since it is smaller than the sum of its proper divisors (102252528).

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

45442656 is a wasteful number, since it uses less digits than its factorization.

45442656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22564 (or 22553 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 45442656 is about 6741.1168214176. The cubic root of 45442656 is about 356.8518086538.

The spelling of 45442656 in words is "forty-five million, four hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 22541 45082 67623 90164 135246 157787 180328 202869 270492 315574 360656 405738 473361 540984 631148 721312 811476 946722 1081968 1262296 1420083 1622952 1893444 2163936 2524592 2840166 3245904 3786888 5049184 5680332 6491808 7573776 11360664 15147552 22721328 45442656