45951264 has 36 divisors (see below), whose sum is σ = 130674726. Its totient is φ = 15316992.

The previous prime is 45951247. The next prime is 45951277. The reversal of 45951264 is 46215954.

45951264 is a `hidden beast` number, since 4 + 595 + 1 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37307664 + 8643600 = 6108^2 + 2940^2 .

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

It is a super-2 number, since 2×45951264² = 4223037326395392, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79489 + ... + 80064.

Almost surely, 2^45951264 is an apocalyptic number.

It is an amenable number.

45951264 is an abundant number, since it is smaller than the sum of its proper divisors (84723462).

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

45951264 is a wasteful number, since it uses less digits than its factorization.

45951264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159569 (or 159558 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 45951264 is about 6778.7361653925. The cubic root of 45951264 is about 358.1782036760.

The spelling of 45951264 in words is "forty-five million, nine hundred fifty-one thousand, two hundred sixty-four".