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35982 = 2321999
BaseRepresentation
bin1000110010001110
31211100200
420302032
52122412
6434330
7206622
oct106216
954320
1035982
1125041
12189a6
13134bb
14d182
15a9dc
hex8c8e

35982 has 12 divisors (see below), whose sum is σ = 78000. Its totient is φ = 11988.

The previous prime is 35977. The next prime is 35983. The reversal of 35982 is 28953.

It can be divided in two parts, 3598 and 2, that added together give a square (3600 = 602).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35983) by changing a digit.

35982 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 5 ways as a sum of consecutive naturals, for example, 982 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (6500).

235982 is an apocalyptic number.

35982 is an abundant number, since it is smaller than the sum of its proper divisors (42018).

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

35982 is a wasteful number, since it uses less digits than its factorization.

35982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2004 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 35982 is about 189.6892195144. The cubic root of 35982 is about 33.0137683594.

The spelling of 35982 in words is "thirty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 1999 3998 5997 11994 17991 35982