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82504 = 2310313
BaseRepresentation
bin10100001001001000
311012011201
4110021020
510120004
61433544
7462352
oct241110
9135151
1082504
1156a94
123b8b4
132b726
14220d2
15196a4
hex14248

82504 has 8 divisors (see below), whose sum is σ = 154710. Its totient is φ = 41248.

The previous prime is 82499. The next prime is 82507. The reversal of 82504 is 40528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 9604 = 270^2 + 98^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82507) by changing a digit.

82504 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5149 + ... + 5164.

282504 is an apocalyptic number.

It is an amenable number.

82504 is a deficient number, since it is larger than the sum of its proper divisors (72206).

82504 is a wasteful number, since it uses less digits than its factorization.

82504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 82504 is about 287.2350953487. The cubic root of 82504 is about 43.5336420071.

It can be divided in two parts, 82 and 504, that multiplied together give a triangular number (41328 = T287).

The spelling of 82504 in words is "eighty-two thousand, five hundred four".

Divisors: 1 2 4 8 10313 20626 41252 82504