45875536 has 80 divisors (see below), whose sum is σ = 106882048. Its totient is φ = 18662400.

The previous prime is 45875507. The next prime is 45875549. The reversal of 45875536 is 63557854.

Its product of digits (504000) is a multiple of the sum of its prime factors (300).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 45875492 and 45875501.

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, 253366 + ... + 253546.

Almost surely, 2^45875536 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 45875536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53441024).

45875536 is an abundant number, since it is smaller than the sum of its proper divisors (61006512).

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

45875536 is a wasteful number, since it uses less digits than its factorization.

45875536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 504000, while the sum is 43.

The square root of 45875536 is about 6773.1481601985. The cubic root of 45875536 is about 357.9813354396.

The spelling of 45875536 in words is "forty-five million, eight hundred seventy-five thousand, five hundred thirty-six".