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85256 = 2310657
BaseRepresentation
bin10100110100001000
311022221122
4110310020
510212011
61454412
7503363
oct246410
9138848
1085256
1159066
1241408
132ca62
14230da
151a3db
hex14d08

85256 has 8 divisors (see below), whose sum is σ = 159870. Its totient is φ = 42624.

The previous prime is 85247. The next prime is 85259. The reversal of 85256 is 65258.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 1156 = 290^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85256.

It is not an unprimeable number, because it can be changed into a prime (85259) by changing a digit.

85256 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 as a sum of consecutive naturals, namely, 5321 + ... + 5336.

285256 is an apocalyptic number.

It is an amenable number.

85256 is a deficient number, since it is larger than the sum of its proper divisors (74614).

85256 is a wasteful number, since it uses less digits than its factorization.

85256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663 (or 10659 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 85256 is about 291.9863010485. The cubic root of 85256 is about 44.0123932032.

The spelling of 85256 in words is "eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 10657 21314 42628 85256