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82472 = 2313261
BaseRepresentation
bin10100001000101000
311012010112
4110020220
510114342
61433452
7462305
oct241050
9135115
1082472
1156a65
123b888
132b700
14220ac
1519682
hex14228

82472 has 24 divisors (see below), whose sum is σ = 170190. Its totient is φ = 37440.

The previous prime is 82471. The next prime is 82483. The reversal of 82472 is 27428.

82472 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 17956 + 64516 = 134^2 + 254^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (82471) 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 5 ways as a sum of consecutive naturals, for example, 1322 + ... + 1382.

282472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85095).

82472 is an abundant number, since it is smaller than the sum of its proper divisors (87718).

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

82472 is a wasteful number, since it uses less digits than its factorization.

82472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 82472 is about 287.1793864469. The cubic root of 82472 is about 43.5280129601.

The spelling of 82472 in words is "eighty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 169 244 338 488 676 793 1352 1586 3172 6344 10309 20618 41236 82472