45856096 has 72 divisors (see below), whose sum is σ = 106983072. Its totient is φ = 19219200.

The previous prime is 45856087. The next prime is 45856141. The reversal of 45856096 is 69065854.

It is a super-2 number, since 2×45856096² = 4205563080722432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49881 + ... + 50791.

It is an arithmetic number, because the mean of its divisors is an integer number (1485876).

Almost surely, 2^45856096 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 45856096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491536).

45856096 is an abundant number, since it is smaller than the sum of its proper divisors (61126976).

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

45856096 is a wasteful number, since it uses less digits than its factorization.

45856096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 45856096 is about 6771.7129295327. The cubic root of 45856096 is about 357.9307628034.

The spelling of 45856096 in words is "forty-five million, eight hundred fifty-six thousand, ninety-six".