56550312 has 240 divisors, whose sum is σ = 199875060. Its totient is φ = 14805504.

The previous prime is 56550283. The next prime is 56550317. The reversal of 56550312 is 21305565.

56550312 is a `hidden beast` number, since 5 + 655 + 0 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55264356 + 1285956 = 7434^2 + 1134^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56550317) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412708 + ... + 412844.

Almost surely, 2^56550312 is an apocalyptic number.

56550312 is a gapful number since it is divisible by the number (52) 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 56550312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99937530).

56550312 is an abundant number, since it is smaller than the sum of its proper divisors (143324748).

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

56550312 is a wasteful number, since it uses less digits than its factorization.

56550312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56550312 is about 7519.9941489339. The cubic root of 56550312 is about 383.8353786554.

Adding to 56550312 its reverse (21305565), we get a palindrome (77855877).

The spelling of 56550312 in words is "fifty-six million, five hundred fifty thousand, three hundred twelve".