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32989 = 112999
BaseRepresentation
bin1000000011011101
31200020211
420003131
52023424
6412421
7165115
oct100335
950224
1032989
1122870
1217111
1312028
14c045
159b94
hex80dd

32989 has 4 divisors (see below), whose sum is σ = 36000. Its totient is φ = 29980.

The previous prime is 32987. The next prime is 32993. The reversal of 32989 is 98923.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 32989 - 21 = 32987 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3 + 27 + 9 + 85 + 92 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32983) 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, 1489 + ... + 1510.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

232989 is an apocalyptic number.

It is an amenable number.

32989 is a deficient number, since it is larger than the sum of its proper divisors (3011).

32989 is a wasteful number, since it uses less digits than its factorization.

32989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010.

The product of its digits is 3888, while the sum is 31.

The square root of 32989 is about 181.6287422188. The cubic root of 32989 is about 32.0717789769.

It can be divided in two parts, 3 and 2989, that added together give a palindrome (2992).

The spelling of 32989 in words is "thirty-two thousand, nine hundred eighty-nine".

Divisors: 1 11 2999 32989