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82468 = 2253389
BaseRepresentation
bin10100001000100100
311012010101
4110020210
510114333
61433444
7462301
oct241044
9135111
1082468
1156a61
123b884
132b6c9
14220a8
151967d
hex14224

82468 has 12 divisors (see below), whose sum is σ = 147420. Its totient is φ = 40352.

The previous prime is 82463. The next prime is 82469. The reversal of 82468 is 86428.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 43264 = 198^2 + 208^2 .

It is a d-powerful number, because it can be written as 83 + 215 + 47 + 62 + 85 .

It is not an unprimeable number, because it can be changed into a prime (82463) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

282468 is an apocalyptic number.

82468 is the 154-th centered heptagonal number.

It is an amenable number.

82468 is a deficient number, since it is larger than the sum of its proper divisors (64952).

82468 is a wasteful number, since it uses less digits than its factorization.

82468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 82468 is about 287.1724220743. The cubic root of 82468 is about 43.5273092269.

The spelling of 82468 in words is "eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 53 106 212 389 778 1556 20617 41234 82468