45317952 has 84 divisors (see below), whose sum is σ = 134424420. Its totient is φ = 14579712.

The previous prime is 45317941. The next prime is 45317953. The reversal of 45317952 is 25971354.

45317952 is a `hidden beast` number, since 4 + 531 + 79 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 8156736 = 6096^2 + 2856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45317953) 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, 15348 + ... + 18060.

Almost surely, 2^45317952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67212210).

45317952 is an abundant number, since it is smaller than the sum of its proper divisors (89106468).

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

45317952 is a wasteful number, since it uses less digits than its factorization.

45317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2747 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 45317952 is about 6731.8609611310. The cubic root of 45317952 is about 356.5250846715.

The spelling of 45317952 in words is "forty-five million, three hundred seventeen thousand, nine hundred fifty-two".