45152952 has 64 divisors (see below), whose sum is σ = 128731680. Its totient is φ = 13074432.

The previous prime is 45152951. The next prime is 45152953. The reversal of 45152952 is 25925154.

It is an interprime number because it is at equal distance from previous prime (45152951) and next prime (45152953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152951) 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, 1048 + ... + 9560.

Almost surely, 2^45152952 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 45152952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64365840).

45152952 is an abundant number, since it is smaller than the sum of its proper divisors (83578728).

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

45152952 is a wasteful number, since it uses less digits than its factorization.

45152952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8548 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 45152952 is about 6719.5946306306. The cubic root of 45152952 is about 356.0918628398.

The spelling of 45152952 in words is "forty-five million, one hundred fifty-two thousand, nine hundred fifty-two".