45889536 has 192 divisors, whose sum is σ = 154103040. Its totient is φ = 11796480.

The previous prime is 45889499. The next prime is 45889549. The reversal of 45889536 is 63598854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1036800) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473040 + ... + 473136.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^45889536 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 45889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

45889536 is an abundant number, since it is smaller than the sum of its proper divisors (108213504).

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

45889536 is a wasteful number, since it uses less digits than its factorization.

45889536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 45889536 is about 6774.1815741830. The cubic root of 45889536 is about 358.0177472138.

The spelling of 45889536 in words is "forty-five million, eight hundred eighty-nine thousand, five hundred thirty-six".