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82788 = 2236899
BaseRepresentation
bin10100001101100100
311012120020
4110031210
510122123
61435140
7463236
oct241544
9135506
1082788
1157222
123bab0
132b8b4
1422256
15197e3
hex14364

82788 has 12 divisors (see below), whose sum is σ = 193200. Its totient is φ = 27592.

The previous prime is 82787. The next prime is 82793. The reversal of 82788 is 88728.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3438 + ... + 3461.

It is an arithmetic number, because the mean of its divisors is an integer number (16100).

282788 is an apocalyptic number.

It is an amenable number.

82788 is an abundant number, since it is smaller than the sum of its proper divisors (110412).

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 (96600).

82788 is a wasteful number, since it uses less digits than its factorization.

82788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6904 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 82788 is about 287.7290392018. The cubic root of 82788 is about 43.5835361344.

The spelling of 82788 in words is "eighty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 6899 13798 20697 27596 41394 82788