56242600 has 48 divisors (see below), whose sum is σ = 135287100. Its totient is φ = 21719040.

The previous prime is 56242561. The next prime is 56242609. The reversal of 56242600 is 624265.

It can be written as a sum of positive squares in 6 ways, for example, as 10355524 + 45887076 = 3218^2 + 6774^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (56242609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 10648.

Almost surely, 2^56242600 is an apocalyptic number.

56242600 is a gapful number since it is divisible by the number (50) 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 56242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67643550).

56242600 is an abundant number, since it is smaller than the sum of its proper divisors (79044500).

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

56242600 is a wasteful number, since it uses less digits than its factorization.

56242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 56242600 is about 7499.5066504404. The cubic root of 56242600 is about 383.1379134161.

Adding to 56242600 its reverse (624265), we get a palindrome (56866865).

The spelling of 56242600 in words is "fifty-six million, two hundred forty-two thousand, six hundred".