45093888 has 176 divisors, whose sum is σ = 153279360. Its totient is φ = 12828672.

The previous prime is 45093887. The next prime is 45093889. The reversal of 45093888 is 88839054.

It is an interprime number because it is at equal distance from previous prime (45093887) and next prime (45093889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45093883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193420 + ... + 193652.

Almost surely, 2^45093888 is an apocalyptic number.

45093888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

45093888 is an abundant number, since it is smaller than the sum of its proper divisors (108185472).

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

45093888 is a wasteful number, since it uses less digits than its factorization.

45093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 45093888 is about 6715.1982844887. The cubic root of 45093888 is about 355.9365286835.

The spelling of 45093888 in words is "forty-five million, ninety-three thousand, eight hundred eighty-eight".