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45638604 = 223211115249
BaseRepresentation
bin1010111000011…
…0001111001100
310011212200101200
42232012033030
543140413404
64310105500
71062631104
oct256061714
9104780350
1045638604
1123841a60
121334b290
1395bc1bb
1460c0204
154017839
hex2b863cc

45638604 has 36 divisors (see below), whose sum is σ = 125853000. Its totient is φ = 13829760.

The previous prime is 45638599. The next prime is 45638623. The reversal of 45638604 is 40683654.

45638604 is a `hidden beast` number, since 45 + 6 + 3 + 8 + 604 = 666.

45638604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57229 + ... + 58020.

Almost surely, 245638604 is an apocalyptic number.

45638604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45638604 is an abundant number, since it is smaller than the sum of its proper divisors (80214396).

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

45638604 is a wasteful number, since it uses less digits than its factorization.

45638604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115270 (or 115265 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45638604 is about 6755.6349812582. The cubic root of 45638604 is about 357.3639862723.

It can be divided in two parts, 456 and 38604, that added together give a triangular number (39060 = T279).

The spelling of 45638604 in words is "forty-five million, six hundred thirty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 115249 230498 345747 460996 691494 1037241 1267739 1382988 2074482 2535478 3803217 4148964 5070956 7606434 11409651 15212868 22819302 45638604