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45904932 = 22325412357
BaseRepresentation
bin1010111100011…
…1010000100100
310012101012201200
42233013100210
543222424212
64315522500
71065120423
oct257072044
9105335650
1045904932
1123a04067
1213459430
1396834a8
14614d2ba
15406b6dc
hex2bc7424

45904932 has 36 divisors (see below), whose sum is σ = 116301276. Its totient is φ = 15266880.

The previous prime is 45904927. The next prime is 45904939. The reversal of 45904932 is 23940954.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 32901696 = 3606^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (45904939) 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, 18298 + ... + 20654.

It is an arithmetic number, because the mean of its divisors is an integer number (3230591).

Almost surely, 245904932 is an apocalyptic number.

It is an amenable number.

45904932 is an abundant number, since it is smaller than the sum of its proper divisors (70396344).

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

45904932 is a wasteful number, since it uses less digits than its factorization.

45904932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 45904932 is about 6775.3178523225. The cubic root of 45904932 is about 358.0577812128.

The spelling of 45904932 in words is "forty-five million, nine hundred four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 541 1082 1623 2164 2357 3246 4714 4869 6492 7071 9428 9738 14142 19476 21213 28284 42426 84852 1275137 2550274 3825411 5100548 7650822 11476233 15301644 22952466 45904932