54957852 has 84 divisors (see below), whose sum is σ = 147633696. Its totient is φ = 17884800.

The previous prime is 54957817. The next prime is 54957857. The reversal of 54957852 is 25875945.

54957852 is a `hidden beast` number, since 549 + 57 + 8 + 52 = 666.

54957852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54957798 and 54957807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54957857) 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 27 ways as a sum of consecutive naturals, for example, 136852 + ... + 137252.

It is an arithmetic number, because the mean of its divisors is an integer number (1757544).

Almost surely, 2^54957852 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 54957852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73816848).

54957852 is an abundant number, since it is smaller than the sum of its proper divisors (92675844).

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

54957852 is a wasteful number, since it uses less digits than its factorization.

54957852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 54957852 is about 7413.3563249044. The cubic root of 54957852 is about 380.1980777114.

The spelling of 54957852 in words is "fifty-four million, nine hundred fifty-seven thousand, eight hundred fifty-two".