56551248 has 120 divisors (see below), whose sum is σ = 180566568. Its totient is φ = 16367616.

The previous prime is 56551241. The next prime is 56551249. The reversal of 56551248 is 84215565.

56551248 is a `hidden beast` number, since 565 + 51 + 2 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 49956624 = 2568^2 + 7068^2 .

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 (56551241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30936 + ... + 32712.

Almost surely, 2^56551248 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 56551248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90283284).

56551248 is an abundant number, since it is smaller than the sum of its proper divisors (124015320).

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

56551248 is a wasteful number, since it uses less digits than its factorization.

56551248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1812 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 56551248 is about 7520.0563827674. The cubic root of 56551248 is about 383.8374963445.

It can be divided in two parts, 5655 and 1248, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 56551248 in words is "fifty-six million, five hundred fifty-one thousand, two hundred forty-eight".