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65856 = 26373
BaseRepresentation
bin10000000101000000
310100100010
4100011000
54101411
61224520
7363000
oct200500
9110303
1065856
114552a
1232140
1323c8b
141a000
15147a6
hex10140

65856 has 56 divisors (see below), whose sum is σ = 203200. Its totient is φ = 18816.

The previous prime is 65851. The next prime is 65867.

65856 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is an ABA number since it can be written as A⋅BA, here for A=3, B=28.

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

Its product of digits (7200) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65851) by changing a digit.

65856 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9405 + ... + 9411.

265856 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 65856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101600).

65856 is an abundant number, since it is smaller than the sum of its proper divisors (137344).

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

65856 is an equidigital number, since it uses as much as digits as its factorization.

65856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 65856 is about 256.6242389175. The cubic root of 65856 is about 40.3829879686.

The spelling of 65856 in words is "sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856