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82436 = 2237557
BaseRepresentation
bin10100001000000100
311012002012
4110020010
510114221
61433352
7462224
oct241004
9135065
1082436
1156a32
123b858
132b6a3
1422084
151965b
hex14204

82436 has 12 divisors (see below), whose sum is σ = 148428. Its totient is φ = 40032.

The previous prime is 82421. The next prime is 82457. The reversal of 82436 is 63428.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 42436 = 200^2 + 206^2 .

It is a congruent number.

It is an unprimeable number.

82436 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 3 ways as a sum of consecutive naturals, for example, 131 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

282436 is an apocalyptic number.

It is an amenable number.

82436 is a deficient number, since it is larger than the sum of its proper divisors (65992).

82436 is a wasteful number, since it uses less digits than its factorization.

82436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 82436 is about 287.1167010120. The cubic root of 82436 is about 43.5216785414.

The spelling of 82436 in words is "eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 37 74 148 557 1114 2228 20609 41218 82436