Search a number
33486 = 235581
BaseRepresentation
bin1000001011001110
31200221020
420023032
52032421
6415010
7166425
oct101316
950836
1033486
1123182
1217466
131231b
14c2bc
159dc6
hex82ce

33486 has 8 divisors (see below), whose sum is σ = 66984. Its totient is φ = 11160.

The previous prime is 33479. The next prime is 33487. The reversal of 33486 is 68433.

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

It is a super-2 number, since 2×334862 = 2242624392, which contains 22 as substring.

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 Ulam number.

It is a d-powerful number, because it can be written as 35 + 35 + 42 + 85 + 63 .

It is a Curzon 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 33486.

It is not an unprimeable number, because it can be changed into a prime (33487) by changing a digit.

33486 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2785 + ... + 2796.

It is an arithmetic number, because the mean of its divisors is an integer number (8373).

233486 is an apocalyptic number.

33486 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 (33492).

33486 is a wasteful number, since it uses less digits than its factorization.

33486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586.

The product of its digits is 1728, while the sum is 24.

The square root of 33486 is about 182.9918030951. The cubic root of 33486 is about 32.2320373499.

The spelling of 33486 in words is "thirty-three thousand, four hundred eighty-six".

Divisors: 1 2 3 6 5581 11162 16743 33486