45052952 has 96 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 17430336.

The previous prime is 45052919. The next prime is 45052961. The reversal of 45052952 is 25925054.

45052952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 171173 + ... + 171435.

It is an arithmetic number, because the mean of its divisors is an integer number (1128600).

Almost surely, 2^45052952 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 45052952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

45052952 is an abundant number, since it is smaller than the sum of its proper divisors (63292648).

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

45052952 is a wasteful number, since it uses less digits than its factorization.

45052952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 45052952 is about 6712.1495811700. The cubic root of 45052952 is about 355.8287902911.

The spelling of 45052952 in words is "forty-five million, fifty-two thousand, nine hundred fifty-two".