56435100 has 72 divisors (see below), whose sum is σ = 170405760. Its totient is φ = 14393280.

The previous prime is 56435083. The next prime is 56435129. The reversal of 56435100 is 153465.

56435100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2811 + ... + 10989.

Almost surely, 2^56435100 is an apocalyptic number.

56435100 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 56435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85202880).

56435100 is an abundant number, since it is smaller than the sum of its proper divisors (113970660).

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

56435100 is a wasteful number, since it uses less digits than its factorization.

56435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56435100 is about 7512.3298649620. The cubic root of 56435100 is about 383.5745341902.

Adding to 56435100 its reverse (153465), we get a palindrome (56588565).

The spelling of 56435100 in words is "fifty-six million, four hundred thirty-five thousand, one hundred".