54652752 has 320 divisors, whose sum is σ = 205701120. Its totient is φ = 13478400.

The previous prime is 54652723. The next prime is 54652757. The reversal of 54652752 is 25725645.

54652752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54652757) 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 63 ways as a sum of consecutive naturals, for example, 1031158 + ... + 1031210.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 2^54652752 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 54652752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

54652752 is an abundant number, since it is smaller than the sum of its proper divisors (151048368).

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

54652752 is a wasteful number, since it uses less digits than its factorization.

54652752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

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

The square root of 54652752 is about 7392.7499619560. The cubic root of 54652752 is about 379.4932117707.

The spelling of 54652752 in words is "fifty-four million, six hundred fifty-two thousand, seven hundred fifty-two".