56026000 has 80 divisors (see below), whose sum is σ = 137245680. Its totient is φ = 22118400.

The previous prime is 56025989. The next prime is 56026007. The reversal of 56026000 is 62065.

56026000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1679616 + 54346384 = 1296^2 + 7372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56026007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 217872 + ... + 218128.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 2^56026000 is an apocalyptic number.

56026000 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 56026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68622840).

56026000 is an abundant number, since it is smaller than the sum of its proper divisors (81219680).

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

56026000 is a wasteful number, since it uses less digits than its factorization.

56026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56026000 is about 7485.0517700280. The cubic root of 56026000 is about 382.6454371681.

Adding to 56026000 its reverse (62065), we get a palindrome (56088065).

The spelling of 56026000 in words is "fifty-six million, twenty-six thousand".