45757530 has 192 divisors, whose sum is σ = 151377408. Its totient is φ = 9331200.

The previous prime is 45757507. The next prime is 45757531. The reversal of 45757530 is 3575754.

45757530 is a `hidden beast` number, since 4 + 57 + 575 + 30 = 666.

45757530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45757531) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 302955 + ... + 303105.

It is an arithmetic number, because the mean of its divisors is an integer number (788424).

Almost surely, 2^45757530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45757530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75688704).

45757530 is an abundant number, since it is smaller than the sum of its proper divisors (105619878).

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

45757530 is a wasteful number, since it uses less digits than its factorization.

45757530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 45757530 is about 6764.4312399492. The cubic root of 45757530 is about 357.6741258135.

The spelling of 45757530 in words is "forty-five million, seven hundred fifty-seven thousand, five hundred thirty".