54048192 has 112 divisors (see below), whose sum is σ = 157959552. Its totient is φ = 16174080.

The previous prime is 54048191. The next prime is 54048193. The reversal of 54048192 is 29184045.

It is an interprime number because it is at equal distance from previous prime (54048191) and next prime (54048193).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54048191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331503 + ... + 331665.

Almost surely, 2^54048192 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 54048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78979776).

54048192 is an abundant number, since it is smaller than the sum of its proper divisors (103911360).

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

54048192 is a wasteful number, since it uses less digits than its factorization.

54048192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 54048192 is about 7351.7475473523. The cubic root of 54048192 is about 378.0887224901.

The spelling of 54048192 in words is "fifty-four million, forty-eight thousand, one hundred ninety-two".