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16848 = 243413
BaseRepresentation
bin100000111010000
3212010000
410013100
51014343
6210000
7100056
oct40720
925100
1016848
1111727
129900
137890
1461d6
154ed3
hex41d0

16848 has 50 divisors (see below), whose sum is σ = 52514. Its totient is φ = 5184.

The previous prime is 16843. The next prime is 16871. The reversal of 16848 is 84861.

It can be divided in two parts, 168 and 48, that added together give a cube (216 = 63).

It can be written as a sum of positive squares in only one way, i.e., 11664 + 5184 = 108^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16843) by changing a digit.

16848 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 9 ways as a sum of consecutive naturals, for example, 1290 + ... + 1302.

216848 is an apocalyptic number.

16848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257).

16848 is an abundant number, since it is smaller than the sum of its proper divisors (35666).

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

16848 is a wasteful number, since it uses less digits than its factorization.

16848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 18 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 16848 is about 129.7998459167. The cubic root of 16848 is about 25.6359520902.

The spelling of 16848 in words is "sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848