45812952 has 120 divisors (see below), whose sum is σ = 137322900. Its totient is φ = 14230080.

The previous prime is 45812951. The next prime is 45812957. The reversal of 45812952 is 25921854.

45812952 is a `hidden beast` number, since 4 + 581 + 29 + 52 = 666.

45812952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45812951) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 751002 + ... + 751062.

Almost surely, 2^45812952 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 45812952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68661450).

45812952 is an abundant number, since it is smaller than the sum of its proper divisors (91509948).

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

45812952 is a wasteful number, since it uses less digits than its factorization.

45812952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 85 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 45812952 is about 6768.5265752599. The cubic root of 45812952 is about 357.8184737674.

It can be divided in two parts, 45812 and 952, that added together give a palindrome (46764).

The spelling of 45812952 in words is "forty-five million, eight hundred twelve thousand, nine hundred fifty-two".