45524952 has 96 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 13490880.

The previous prime is 45524951. The next prime is 45524953. The reversal of 45524952 is 25942554.

45524952 is a `hidden beast` number, since 45 + 524 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45524951) and next prime (45524953).

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 (45524951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36613 + ... + 37835.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^45524952 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 45524952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

45524952 is an abundant number, since it is smaller than the sum of its proper divisors (91954728).

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

45524952 is a wasteful number, since it uses less digits than its factorization.

45524952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1286 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 45524952 is about 6747.2180934071. The cubic root of 45524952 is about 357.0670965853.

The spelling of 45524952 in words is "forty-five million, five hundred twenty-four thousand, nine hundred fifty-two".