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82348 = 22717173
BaseRepresentation
bin10100000110101100
311011221221
4110012230
510113343
61433124
7462040
oct240654
9134857
1082348
1156962
123b7a4
132b636
1422020
15195ed
hex141ac

82348 has 24 divisors (see below), whose sum is σ = 175392. Its totient is φ = 33024.

The previous prime is 82339. The next prime is 82349. The reversal of 82348 is 84328.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (82349) 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 7 ways as a sum of consecutive naturals, for example, 390 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

282348 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 82348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87696).

82348 is an abundant number, since it is smaller than the sum of its proper divisors (93044).

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

82348 is a wasteful number, since it uses less digits than its factorization.

82348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 82348 is about 286.9634123020. The cubic root of 82348 is about 43.5061866394.

The spelling of 82348 in words is "eighty-two thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 173 238 346 476 692 1211 2422 2941 4844 5882 11764 20587 41174 82348