56393700 has 144 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 13059200.

The previous prime is 56393671. The next prime is 56393717. The reversal of 56393700 is 739365.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75529 + ... + 76271.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^56393700 is an apocalyptic number.

56393700 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 56393700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

56393700 is an abundant number, since it is smaller than the sum of its proper divisors (129594396).

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

56393700 is a wasteful number, since it uses less digits than its factorization.

56393700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 56393700 is about 7509.5738893761. The cubic root of 56393700 is about 383.4807162742.

It can be divided in two parts, 5639 and 3700, that added together give a palindrome (9339).

The spelling of 56393700 in words is "fifty-six million, three hundred ninety-three thousand, seven hundred".