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82056 = 23313263
BaseRepresentation
bin10100000010001000
311011120010
4110002020
510111211
61431520
7461142
oct240210
9134503
1082056
1156717
123b5a0
132b470
1421c92
15194a6
hex14088

82056 has 32 divisors (see below), whose sum is σ = 221760. Its totient is φ = 25152.

The previous prime is 82051. The next prime is 82067. The reversal of 82056 is 65028.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82056.

It is not an unprimeable number, because it can be changed into a prime (82051) by changing a digit.

82056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

282056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

82056 is an abundant number, since it is smaller than the sum of its proper divisors (139704).

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

82056 is a wasteful number, since it uses less digits than its factorization.

82056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

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

The square root of 82056 is about 286.4541848184. The cubic root of 82056 is about 43.4547024837.

The spelling of 82056 in words is "eighty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 263 312 526 789 1052 1578 2104 3156 3419 6312 6838 10257 13676 20514 27352 41028 82056