54045756 has 36 divisors (see below), whose sum is σ = 138860904. Its totient is φ = 17719200.

The previous prime is 54045731. The next prime is 54045793. The reversal of 54045756 is 65754045.

It is a happy number.

54045756 is a `hidden beast` number, since 540 + 45 + 75 + 6 = 666.

54045756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×54045756² = 5841887483223072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54045756.

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 11 ways as a sum of consecutive naturals, for example, 10110 + ... + 14501.

Almost surely, 2^54045756 is an apocalyptic number.

It is an amenable number.

54045756 is an abundant number, since it is smaller than the sum of its proper divisors (84815148).

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

54045756 is a wasteful number, since it uses less digits than its factorization.

54045756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24682 (or 24677 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54045756 is about 7351.5818705908. The cubic root of 54045756 is about 378.0830421399.

The spelling of 54045756 in words is "fifty-four million, forty-five thousand, seven hundred fifty-six".