45005056 has 72 divisors (see below), whose sum is σ = 95364864. Its totient is φ = 21166080.

The previous prime is 45005041. The next prime is 45005083. The reversal of 45005056 is 65050054.

It is a self number, because there is not a number n which added to its sum of digits gives 45005056.

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, 420555 + ... + 420661.

It is an arithmetic number, because the mean of its divisors is an integer number (1324512).

Almost surely, 2^45005056 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 45005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47682432).

45005056 is an abundant number, since it is smaller than the sum of its proper divisors (50359808).

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

45005056 is a wasteful number, since it uses less digits than its factorization.

45005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 45005056 is about 6708.5807739044. The cubic root of 45005056 is about 355.7026511742.

The spelling of 45005056 in words is "forty-five million, five thousand, fifty-six".