54805248 has 108 divisors (see below), whose sum is σ = 164055528. Its totient is φ = 18247680.

The previous prime is 54805237. The next prime is 54805259. The reversal of 54805248 is 84250845.

54805248 is a `hidden beast` number, since 54 + 80 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (54805237) and next prime (54805259).

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61768 + ... + 62648.

Almost surely, 2^54805248 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 54805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82027764).

54805248 is an abundant number, since it is smaller than the sum of its proper divisors (109250280).

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

54805248 is an frugal number, since it uses more digits than its factorization.

54805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 54805248 is about 7403.0566659995. The cubic root of 54805248 is about 379.8458469845.

The spelling of 54805248 in words is "fifty-four million, eight hundred five thousand, two hundred forty-eight".