56005248 has 96 divisors (see below), whose sum is σ = 161274240. Its totient is φ = 17212416.

The previous prime is 56005237. The next prime is 56005273. The reversal of 56005248 is 84250065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×56005248³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64465 + ... + 65327.

It is an arithmetic number, because the mean of its divisors is an integer number (1679940).

Almost surely, 2^56005248 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 56005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80637120).

56005248 is an abundant number, since it is smaller than the sum of its proper divisors (105268992).

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

56005248 is a wasteful number, since it uses less digits than its factorization.

56005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 56005248 is about 7483.6654120825. The cubic root of 56005248 is about 382.5981874465.

The spelling of 56005248 in words is "fifty-six million, five thousand, two hundred forty-eight".