45753750 has 180 divisors, whose sum is σ = 145837692. Its totient is φ = 10332000.

The previous prime is 45753727. The next prime is 45753761. The reversal of 45753750 is 5735754.

45753750 is a `hidden beast` number, since 4 + 575 + 37 + 50 = 666.

45753750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 551209 + ... + 551291.

Almost surely, 2^45753750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45753750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72918846).

45753750 is an abundant number, since it is smaller than the sum of its proper divisors (100083942).

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

45753750 is a wasteful number, since it uses less digits than its factorization.

45753750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

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

The square root of 45753750 is about 6764.1518315307. The cubic root of 45753750 is about 357.6642764661.

The spelling of 45753750 in words is "forty-five million, seven hundred fifty-three thousand, seven hundred fifty".