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36282 = 236047

36282 has 8 divisors (see below), whose sum is σ = 72576. Its totient is φ = 12092.

The previous prime is 36277. The next prime is 36293. The reversal of 36282 is 28263.

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

36282 is an admirable number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36282.

It is an unprimeable number.

36282 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 3 ways as a sum of consecutive naturals, for example, 3018 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

236282 is an apocalyptic number.

36282 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 (36288).

36282 is a wasteful number, since it uses less digits than its factorization.

36282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052.

The product of its digits is 576, while the sum is 21.

The square root of 36282 is about 190.4783452259. The cubic root of 36282 is about 33.1052653307.

It can be divided in two parts, 362 and 82, that added together give a palindrome (444).

The spelling of 36282 in words is "thirty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 6047 12094 18141 36282