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82838 = 276197
BaseRepresentation
bin10100001110010110
311012122002
4110032112
510122323
61435302
7463340
oct241626
9135562
1082838
1157268
123bb32
132b922
1422290
1519828
hex14396

82838 has 16 divisors (see below), whose sum is σ = 145824. Its totient is φ = 34560.

The previous prime is 82837. The next prime is 82847. The reversal of 82838 is 83828.

It is a self number, because there is not a number n which added to its sum of digits gives 82838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

282838 is an apocalyptic number.

82838 is a deficient number, since it is larger than the sum of its proper divisors (62986).

82838 is a wasteful number, since it uses less digits than its factorization.

82838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167.

The product of its digits is 3072, while the sum is 29.

The square root of 82838 is about 287.8159133891. The cubic root of 82838 is about 43.5923084937.

Subtracting 82838 from its reverse (83828), we obtain a triangular number (990 = T44).

The spelling of 82838 in words is "eighty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 7 14 61 97 122 194 427 679 854 1358 5917 11834 41419 82838