56144200 has 144 divisors (see below), whose sum is σ = 161256420. Its totient is φ = 18063360.

The previous prime is 56144177. The next prime is 56144213. The reversal of 56144200 is 244165.

It can be written as a sum of positive squares in 6 ways, for example, as 21734244 + 34409956 = 4662^2 + 5866^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166432 + ... + 166768.

Almost surely, 2^56144200 is an apocalyptic number.

56144200 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 56144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80628210).

56144200 is an abundant number, since it is smaller than the sum of its proper divisors (105112220).

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

56144200 is a wasteful number, since it uses less digits than its factorization.

56144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 56144200 is about 7492.9433469098. The cubic root of 56144200 is about 382.9143416116.

Adding to 56144200 its reverse (244165), we get a palindrome (56388365).

The spelling of 56144200 in words is "fifty-six million, one hundred forty-four thousand, two hundred".