45755952 has 80 divisors (see below), whose sum is σ = 135765120. Its totient is φ = 13132800.

The previous prime is 45755921. The next prime is 45755953. The reversal of 45755952 is 25955754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45755953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7752 + ... + 12312.

It is an arithmetic number, because the mean of its divisors is an integer number (1697064).

Almost surely, 2^45755952 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 45755952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67882560).

45755952 is an abundant number, since it is smaller than the sum of its proper divisors (90009168).

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

45755952 is a wasteful number, since it uses less digits than its factorization.

45755952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4596 counting only the distinct ones).

The product of its digits is 315000, while the sum is 42.

The square root of 45755952 is about 6764.3145994254. The cubic root of 45755952 is about 357.6700141677.

The spelling of 45755952 in words is "forty-five million, seven hundred fifty-five thousand, nine hundred fifty-two".