45192032 has 48 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 21248640.

The previous prime is 45192031. The next prime is 45192071. The reversal of 45192032 is 23029154.

It is a junction number, because it is equal to n+sod(n) for n = 45191992 and 45192010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45192031) by changing a digit.

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, 145157 + ... + 145467.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^45192032 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 45192032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

45192032 is an abundant number, since it is smaller than the sum of its proper divisors (49156768).

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

45192032 is a wasteful number, since it uses less digits than its factorization.

45192032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 45192032 is about 6722.5019152098. The cubic root of 45192032 is about 356.1945660336.

The spelling of 45192032 in words is "forty-five million, one hundred ninety-two thousand, thirty-two".