54524288 has 128 divisors (see below), whose sum is σ = 138915840. Its totient is φ = 20736000.

The previous prime is 54524251. The next prime is 54524291. The reversal of 54524288 is 88242545.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361013 + ... + 361163.

It is an arithmetic number, because the mean of its divisors is an integer number (1085280).

Almost surely, 2^54524288 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 54524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920).

54524288 is an abundant number, since it is smaller than the sum of its proper divisors (84391552).

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

54524288 is a wasteful number, since it uses less digits than its factorization.

54524288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 54524288 is about 7384.0563378132. The cubic root of 54524288 is about 379.1956393001.

The spelling of 54524288 in words is "fifty-four million, five hundred twenty-four thousand, two hundred eighty-eight".