45049824 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 14357376.

The previous prime is 45049811. The next prime is 45049859. The reversal of 45049824 is 42894054.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18739 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^45049824 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 45049824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

45049824 is an abundant number, since it is smaller than the sum of its proper divisors (92118816).

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

45049824 is a wasteful number, since it uses less digits than its factorization.

45049824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45049824 is about 6711.9165668235. The cubic root of 45049824 is about 355.8205551058.

The spelling of 45049824 in words is "forty-five million, forty-nine thousand, eight hundred twenty-four".