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45521928 = 23325631123
BaseRepresentation
bin1010110110100…
…1110000001000
310011122202100100
42231221300020
543123200203
64303405400
71061633664
oct255516010
9104582310
1045521928
1123772331
12132b3860
13957b06a
14608d8a4
153ee2ea3
hex2b69c08

45521928 has 48 divisors (see below), whose sum is σ = 123617520. Its totient is φ = 15133536.

The previous prime is 45521923. The next prime is 45521941. The reversal of 45521928 is 82912554.

45521928 is a `hidden beast` number, since 45 + 521 + 92 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45521892 and 45521901.

It is not an unprimeable number, because it can be changed into a prime (45521923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39975 + ... + 41097.

It is an arithmetic number, because the mean of its divisors is an integer number (2575365).

Almost surely, 245521928 is an apocalyptic number.

It is an amenable number.

45521928 is an abundant number, since it is smaller than the sum of its proper divisors (78095592).

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

45521928 is a wasteful number, since it uses less digits than its factorization.

45521928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 45521928 is about 6746.9939973295. The cubic root of 45521928 is about 357.0591903364.

The spelling of 45521928 in words is "forty-five million, five hundred twenty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 563 1123 1126 1689 2246 2252 3369 3378 4492 4504 5067 6738 6756 8984 10107 10134 13476 13512 20214 20268 26952 40428 40536 80856 632249 1264498 1896747 2528996 3793494 5057992 5690241 7586988 11380482 15173976 22760964 45521928