45724938 has 96 divisors (see below), whose sum is σ = 114255360. Its totient is φ = 12136320.

The previous prime is 45724919. The next prime is 45724957. The reversal of 45724938 is 83942754.

45724938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45724919) and next prime (45724957).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (241920) is a multiple of the sum of its prime factors (252).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45724938.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264220 + ... + 264392.

It is an arithmetic number, because the mean of its divisors is an integer number (1190160).

Almost surely, 2^45724938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45724938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57127680).

45724938 is an abundant number, since it is smaller than the sum of its proper divisors (68530422).

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

45724938 is a wasteful number, since it uses less digits than its factorization.

45724938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 45724938 is about 6762.0217390955. The cubic root of 45724938 is about 357.5891847196.

The spelling of 45724938 in words is "forty-five million, seven hundred twenty-four thousand, nine hundred thirty-eight".