45508192 has 72 divisors (see below), whose sum is σ = 98771400. Its totient is φ = 20579328.

The previous prime is 45508189. The next prime is 45508193. The reversal of 45508192 is 29180554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45508193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511284 + ... + 511372.

It is an arithmetic number, because the mean of its divisors is an integer number (1371825).

Almost surely, 2^45508192 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 45508192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385700).

45508192 is an abundant number, since it is smaller than the sum of its proper divisors (53263208).

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

45508192 is a wasteful number, since it uses less digits than its factorization.

45508192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 45508192 is about 6745.9759857266. The cubic root of 45508192 is about 357.0232731521.

The spelling of 45508192 in words is "forty-five million, five hundred eight thousand, one hundred ninety-two".