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12848 = 241173
BaseRepresentation
bin11001000110000
3122121212
43020300
5402343
6135252
752313
oct31060
918555
1012848
119720
127528
135b04
14497a
153c18
hex3230

12848 has 20 divisors (see below), whose sum is σ = 27528. Its totient is φ = 5760.

The previous prime is 12841. The next prime is 12853. The reversal of 12848 is 84821.

It is a super-2 number, since 2×128482 = 330142208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12841) by changing a digit.

12848 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 in 3 ways as a sum of consecutive naturals, for example, 140 + ... + 212.

212848 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 12848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764).

12848 is an abundant number, since it is smaller than the sum of its proper divisors (14680).

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

12848 is a wasteful number, since it uses less digits than its factorization.

12848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 12848 is about 113.3490185224. The cubic root of 12848 is about 23.4213456088.

The spelling of 12848 in words is "twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 6424 12848