54589248 has 112 divisors (see below), whose sum is σ = 183448960. Its totient is φ = 15593472.

The previous prime is 54589247. The next prime is 54589253. The reversal of 54589248 is 84298545.

54589248 is a `hidden beast` number, since 545 + 89 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54589243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9840 + ... + 14352.

Almost surely, 2^54589248 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 54589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91724480).

54589248 is an abundant number, since it is smaller than the sum of its proper divisors (128859712).

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

54589248 is a wasteful number, since it uses less digits than its factorization.

54589248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4525 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 54589248 is about 7388.4536947862. The cubic root of 54589248 is about 379.3461702148.

It can be divided in two parts, 5458 and 9248, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 54589248 in words is "fifty-four million, five hundred eighty-nine thousand, two hundred forty-eight".