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32896 = 27257
BaseRepresentation
bin1000000010000000
31200010101
420002000
52023041
6412144
7164623
oct100200
950111
1032896
1122796
1217054
1311c86
14bdba
159b31
hex8080

32896 has 16 divisors (see below), whose sum is σ = 65790. Its totient is φ = 16384.

The previous prime is 32887. The next prime is 32909. The reversal of 32896 is 69823.

It can be divided in two parts, 328 and 96, that added together give a palindrome (424).

32896 is a nontrivial binomial coefficient, being equal to C(257, 2).

It can be written as a sum of positive squares in only one way, i.e., 18496 + 14400 = 136^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 34 + 25 + 85 + 9 + 6 .

32896 is an undulating number in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 32896 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1 + ... + 256.

232896 is an apocalyptic number.

32896 is the 256-th triangular number.

32896 is the 86-th centered nonagonal number.

It is an amenable number.

32896 is a deficient number, since it is larger than the sum of its proper divisors (32894).

32896 is an equidigital number, since it uses as much as digits as its factorization.

32896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 32896 is about 181.3725447801. The cubic root of 32896 is about 32.0416125306.

The spelling of 32896 in words is "thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 2056 4112 8224 16448 32896