56082000 has 160 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 13785600.

The previous prime is 56081999. The next prime is 56082001. The reversal of 56082000 is 28065.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56081999) and next prime (56082001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56082001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77641 + ... + 78359.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^56082000 is an apocalyptic number.

56082000 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 56082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

56082000 is an abundant number, since it is smaller than the sum of its proper divisors (138905520).

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

56082000 is a wasteful number, since it uses less digits than its factorization.

56082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 56082000 is about 7488.7916248217. The cubic root of 56082000 is about 382.7728840026.

The spelling of 56082000 in words is "fifty-six million, eighty-two thousand".