54957552 has 80 divisors (see below), whose sum is σ = 158219040. Its totient is φ = 16321536.

The previous prime is 54957547. The next prime is 54957559. The reversal of 54957552 is 25575945.

54957552 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 not an unprimeable number, because it can be changed into a prime (54957559) 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 15 ways as a sum of consecutive naturals, for example, 16578 + ... + 19614.

It is an arithmetic number, because the mean of its divisors is an integer number (1977738).

Almost surely, 2^54957552 is an apocalyptic number.

54957552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54957552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79109520).

54957552 is an abundant number, since it is smaller than the sum of its proper divisors (103261488).

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

54957552 is a wasteful number, since it uses less digits than its factorization.

54957552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its digits is 315000, while the sum is 42.

The square root of 54957552 is about 7413.3360911266. The cubic root of 54957552 is about 380.1973859108.

The spelling of 54957552 in words is "fifty-four million, nine hundred fifty-seven thousand, five hundred fifty-two".