45938952 has 96 divisors (see below), whose sum is σ = 128887200. Its totient is φ = 14775552.

The previous prime is 45938911. The next prime is 45938953. The reversal of 45938952 is 25983954.

45938952 is a `hidden beast` number, since 4 + 593 + 8 + 9 + 52 = 666.

45938952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45938952² = 4220774621716608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45938898 and 45938907.

It is not an unprimeable number, because it can be changed into a prime (45938953) 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 23 ways as a sum of consecutive naturals, for example, 429283 + ... + 429389.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^45938952 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 45938952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

45938952 is an abundant number, since it is smaller than the sum of its proper divisors (82948248).

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

45938952 is a wasteful number, since it uses less digits than its factorization.

45938952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 45938952 is about 6777.8279706703. The cubic root of 45938952 is about 358.1462112013.

The spelling of 45938952 in words is "forty-five million, nine hundred thirty-eight thousand, nine hundred fifty-two".