45124992 has 128 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 13662720.

The previous prime is 45124951. The next prime is 45124999. The reversal of 45124992 is 29942154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45124999) 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, 37423 + ... + 38609.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^45124992 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 45124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

45124992 is an abundant number, since it is smaller than the sum of its proper divisors (100286208).

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

45124992 is a wasteful number, since it uses less digits than its factorization.

45124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1203 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 45124992 is about 6717.5138258138. The cubic root of 45124992 is about 356.0183469062.

The spelling of 45124992 in words is "forty-five million, one hundred twenty-four thousand, nine hundred ninety-two".