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6848 = 26107
BaseRepresentation
bin1101011000000
3100101122
41223000
5204343
651412
725652
oct15300
910348
106848
115166
123b68
13316a
1426d2
152068
hex1ac0

6848 has 14 divisors (see below), whose sum is σ = 13716. Its totient is φ = 3392.

The previous prime is 6841. The next prime is 6857. The reversal of 6848 is 8486.

6848 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (6841) by changing a digit.

6848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11 + ... + 117.

26848 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 6848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858).

6848 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

6848 is a wasteful number, since it uses less digits than its factorization.

6848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 6848 is about 82.7526434623. The cubic root of 6848 is about 18.9898375941.

The spelling of 6848 in words is "six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 6848