54048544 has 48 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 24424960.

The previous prime is 54048541. The next prime is 54048569. The reversal of 54048544 is 44584045.

It is not an unprimeable number, because it can be changed into a prime (54048541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81687 + ... + 82345.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2^54048544 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 54048544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

54048544 is an abundant number, since it is smaller than the sum of its proper divisors (62708096).

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

54048544 is a wasteful number, since it uses less digits than its factorization.

54048544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 54048544 is about 7351.7714871995. The cubic root of 54048544 is about 378.0895432819.

The spelling of 54048544 in words is "fifty-four million, forty-eight thousand, five hundred forty-four".