54906048 has 168 divisors, whose sum is σ = 172364400. Its totient is φ = 16644096.

The previous prime is 54906043. The next prime is 54906091. The reversal of 54906048 is 84060945.

54906048 is a `hidden beast` number, since 5 + 49 + 0 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54906041) 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 23 ways as a sum of consecutive naturals, for example, 317290 + ... + 317462.

Almost surely, 2^54906048 is an apocalyptic number.

54906048 is a gapful number since it is divisible by the number (58) 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 54906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86182200).

54906048 is an abundant number, since it is smaller than the sum of its proper divisors (117458352).

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

54906048 is a wasteful number, since it uses less digits than its factorization.

54906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54906048 is about 7409.8615371679. The cubic root of 54906048 is about 380.0785802405.

The spelling of 54906048 in words is "fifty-four million, nine hundred six thousand, forty-eight".