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10848 = 253113
BaseRepresentation
bin10101001100000
3112212210
42221200
5321343
6122120
743425
oct25140
915783
1010848
118172
126340
134c26
143d4c
153333
hex2a60

10848 has 24 divisors (see below), whose sum is σ = 28728. Its totient is φ = 3584.

The previous prime is 10847. The next prime is 10853. The reversal of 10848 is 84801.

It can be divided in two parts, 108 and 48, that multiplied together give a square (5184 = 722).

10848 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

10848 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10848.

It is not an unprimeable number, because it can be changed into a prime (10847) by changing a digit.

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, 40 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

210848 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 10848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

10848 is an abundant number, since it is smaller than the sum of its proper divisors (17880).

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

10848 is a wasteful number, since it uses less digits than its factorization.

10848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10848 is about 104.1537325303. The cubic root of 10848 is about 22.1368875439.

The spelling of 10848 in words is "ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848