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86256 = 2432599
BaseRepresentation
bin10101000011110000
311101022200
4111003300
510230011
61503200
7506322
oct250360
9141280
1086256
1159895
1241b00
1330351
1423612
151a856
hex150f0

86256 has 30 divisors (see below), whose sum is σ = 241800. Its totient is φ = 28704.

The previous prime is 86249. The next prime is 86257. The reversal of 86256 is 65268.

86256 is nontrivially palindromic in base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86257) by changing a digit.

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, 156 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

286256 is an apocalyptic number.

It is an amenable number.

86256 is an abundant number, since it is smaller than the sum of its proper divisors (155544).

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

86256 is a wasteful number, since it uses less digits than its factorization.

86256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 86256 is about 293.6937180125. The cubic root of 86256 is about 44.1838041165.

The spelling of 86256 in words is "eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 599 1198 1797 2396 3594 4792 5391 7188 9584 10782 14376 21564 28752 43128 86256