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32956 = 22711107
BaseRepresentation
bin1000000010111100
31200012121
420002330
52023311
6412324
7165040
oct100274
950177
1032956
1122840
12170a4
1312001
14c020
159b71
hex80bc

32956 has 24 divisors (see below), whose sum is σ = 72576. Its totient is φ = 12720.

The previous prime is 32941. The next prime is 32957. The reversal of 32956 is 65923.

It is a self number, because there is not a number n which added to its sum of digits gives 32956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32957) by changing a digit.

32956 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 7 ways as a sum of consecutive naturals, for example, 255 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

232956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

32956 is an abundant number, since it is smaller than the sum of its proper divisors (39620).

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

32956 is a wasteful number, since it uses less digits than its factorization.

32956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 32956 is about 181.5378748361. The cubic root of 32956 is about 32.0610812513.

The spelling of 32956 in words is "thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 2354 2996 4708 8239 16478 32956