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82208 = 257367
BaseRepresentation
bin10100000100100000
311011202202
4110010200
510112313
61432332
7461450
oct240440
9134682
1082208
1156845
123b6a8
132b559
1421d60
1519558
hex14120

82208 has 24 divisors (see below), whose sum is σ = 185472. Its totient is φ = 35136.

The previous prime is 82207. The next prime is 82217. The reversal of 82208 is 80228.

It is a self number, because there is not a number n which added to its sum of digits gives 82208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

282208 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 82208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

82208 is an abundant number, since it is smaller than the sum of its proper divisors (103264).

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

82208 is a wasteful number, since it uses less digits than its factorization.

82208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 82208 is about 286.7193749993. The cubic root of 82208 is about 43.4815176691.

Adding to 82208 its sum of digits (20), we get a palindrome (82228).

It can be divided in two parts, 8220 and 8, that added together give a palindrome (8228).

The spelling of 82208 in words is "eighty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 367 734 1468 2569 2936 5138 5872 10276 11744 20552 41104 82208