45747936 has 96 divisors (see below), whose sum is σ = 143730720. Its totient is φ = 14072832.

The previous prime is 45747913. The next prime is 45747941. The reversal of 45747936 is 63974754.

45747936 is a `hidden beast` number, since 4 + 574 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45747891 and 45747900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9196 + ... + 13268.

It is an arithmetic number, because the mean of its divisors is an integer number (1497195).

Almost surely, 2^45747936 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 45747936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71865360).

45747936 is an abundant number, since it is smaller than the sum of its proper divisors (97982784).

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

45747936 is a wasteful number, since it uses less digits than its factorization.

45747936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4091 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 45747936 is about 6763.7220522431. The cubic root of 45747936 is about 357.6491261728.

The spelling of 45747936 in words is "forty-five million, seven hundred forty-seven thousand, nine hundred thirty-six".