45916032 has 64 divisors (see below), whose sum is σ = 123195600. Its totient is φ = 15151104.

The previous prime is 45916021. The next prime is 45916037. The reversal of 45916032 is 23061954.

45916032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45916037) 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, 41308 + ... + 42404.

Almost surely, 2^45916032 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 45916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61597800).

45916032 is an abundant number, since it is smaller than the sum of its proper divisors (77279568).

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

45916032 is a wasteful number, since it uses less digits than its factorization.

45916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 45916032 is about 6776.1369525711. The cubic root of 45916032 is about 358.0866388315.

Adding to 45916032 its reverse (23061954), we get a palindrome (68977986).

The spelling of 45916032 in words is "forty-five million, nine hundred sixteen thousand, thirty-two".