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26682 = 234447
BaseRepresentation
bin110100000111010
31100121020
412200322
51323212
6323310
7140535
oct64072
940536
1026682
1119057
1213536
13c1b6
149a1c
157d8c
hex683a

26682 has 8 divisors (see below), whose sum is σ = 53376. Its totient is φ = 8892.

The previous prime is 26681. The next prime is 26683. The reversal of 26682 is 28662.

It is an interprime number because it is at equal distance from previous prime (26681) and next prime (26683).

It is a sphenic number, since it is the product of 3 distinct primes.

26682 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26682.

It is not an unprimeable number, because it can be changed into a prime (26681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2218 + ... + 2229.

It is an arithmetic number, because the mean of its divisors is an integer number (6672).

226682 is an apocalyptic number.

26682 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26688).

26682 is a wasteful number, since it uses less digits than its factorization.

26682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452.

The product of its digits is 1152, while the sum is 24.

The square root of 26682 is about 163.3462579920. The cubic root of 26682 is about 29.8817567859.

It can be divided in two parts, 266 and 82, that multiplied together give a palindrome (21812).

The spelling of 26682 in words is "twenty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 4447 8894 13341 26682