56442000 has 160 divisors (see below), whose sum is σ = 190344960. Its totient is φ = 14361600.

The previous prime is 56441993. The next prime is 56442011. The reversal of 56442000 is 24465.

It is a happy number.

56442000 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 31 ways as a sum of consecutive naturals, for example, 137796 + ... + 138204.

It is an arithmetic number, because the mean of its divisors is an integer number (1189656).

Almost surely, 2^56442000 is an apocalyptic number.

56442000 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 56442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480).

56442000 is an abundant number, since it is smaller than the sum of its proper divisors (133902960).

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

56442000 is a wasteful number, since it uses less digits than its factorization.

56442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 56442000 is about 7512.7890959350. The cubic root of 56442000 is about 383.5901660483.

Adding to 56442000 its reverse (24465), we get a palindrome (56466465).

The spelling of 56442000 in words is "fifty-six million, four hundred forty-two thousand".