45985056 has 48 divisors (see below), whose sum is σ = 129999744. Its totient is φ = 14148864.

The previous prime is 45985019. The next prime is 45985057. The reversal of 45985056 is 65058954.

45985056 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 (48).

It is a super-2 number, since 2×45985056² = 4229250750646272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45984999 and 45985017.

It is not an unprimeable number, because it can be changed into a prime (45985057) 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, 17176 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (2708328).

Almost surely, 2^45985056 is an apocalyptic number.

It is an amenable number.

45985056 is an abundant number, since it is smaller than the sum of its proper divisors (84014688).

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

45985056 is a wasteful number, since it uses less digits than its factorization.

45985056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36873 (or 36865 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 45985056 is about 6781.2282073383. The cubic root of 45985056 is about 358.2659821256.

The spelling of 45985056 in words is "forty-five million, nine hundred eighty-five thousand, fifty-six".