45676032 has 80 divisors (see below), whose sum is σ = 123152832. Its totient is φ = 15042560.

The previous prime is 45676013. The next prime is 45676049. The reversal of 45676032 is 23067654.

It is a junction number, because it is equal to n+sod(n) for n = 45675984 and 45676002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201103 + ... + 201329.

Almost surely, 2^45676032 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 45676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61576416).

45676032 is an abundant number, since it is smaller than the sum of its proper divisors (77476800).

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

45676032 is a wasteful number, since it uses less digits than its factorization.

45676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 45676032 is about 6758.4045454530. The cubic root of 45676032 is about 357.4616504090.

The spelling of 45676032 in words is "forty-five million, six hundred seventy-six thousand, thirty-two".