45602952 has 32 divisors (see below), whose sum is σ = 114173280. Its totient is φ = 15178880.

The previous prime is 45602917. The next prime is 45602957. The reversal of 45602952 is 25920654.

45602952 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 2×45602952² = 4159258462228608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

45602952 is a modest number, since divided by 2952 gives 456 as remainder.

It is not an unprimeable number, because it can be changed into a prime (45602957) 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 7 ways as a sum of consecutive naturals, for example, 30052 + ... + 31532.

It is an arithmetic number, because the mean of its divisors is an integer number (3567915).

Almost surely, 2^45602952 is an apocalyptic number.

It is an amenable number.

45602952 is an abundant number, since it is smaller than the sum of its proper divisors (68570328).

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

45602952 is a wasteful number, since it uses less digits than its factorization.

45602952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45602952 is about 6752.9957796522. The cubic root of 45602952 is about 357.2709067390.

The spelling of 45602952 in words is "forty-five million, six hundred two thousand, nine hundred fifty-two".