56461248 has 84 divisors (see below), whose sum is σ = 163924488. Its totient is φ = 18577920.

The previous prime is 56461243. The next prime is 56461253. The reversal of 56461248 is 84216465.

56461248 is a `hidden beast` number, since 5 + 646 + 1 + 2 + 4 + 8 = 666.

56461248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56461243) and next prime (56461253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56461243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47218 + ... + 48398.

It is an arithmetic number, because the mean of its divisors is an integer number (1951482).

Almost surely, 2^56461248 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 56461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81962244).

56461248 is an abundant number, since it is smaller than the sum of its proper divisors (107463240).

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

56461248 is a wasteful number, since it uses less digits than its factorization.

56461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1269 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56461248 is about 7514.0700023356. The cubic root of 56461248 is about 383.6337654033.

The spelling of 56461248 in words is "fifty-six million, four hundred sixty-one thousand, two hundred forty-eight".