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82768 = 247739
BaseRepresentation
bin10100001101010000
311012112111
4110031100
510122033
61435104
7463210
oct241520
9135474
1082768
1157204
123ba94
132b89a
1422240
15197cd
hex14350

82768 has 20 divisors (see below), whose sum is σ = 183520. Its totient is φ = 35424.

The previous prime is 82763. The next prime is 82781. The reversal of 82768 is 86728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82763) by changing a digit.

82768 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, 258 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (9176).

282768 is an apocalyptic number.

It is an amenable number.

82768 is an abundant number, since it is smaller than the sum of its proper divisors (100752).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91760).

82768 is a wasteful number, since it uses less digits than its factorization.

82768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 82768 is about 287.6942821816. The cubic root of 82768 is about 43.5800262017.

The spelling of 82768 in words is "eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 739 1478 2956 5173 5912 10346 11824 20692 41384 82768