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6556 = 2211149
BaseRepresentation
bin1100110011100
322222211
41212130
5202211
650204
725054
oct14634
98884
106556
114a20
123964
132ca4
142564
151e21
hex199c

6556 has 12 divisors (see below), whose sum is σ = 12600. Its totient is φ = 2960.

The previous prime is 6553. The next prime is 6563.

6556 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65562 = 85962272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a pancake number, because a pancake can be divided into 6556 parts by 114 straight cuts.

It is a plaindrome in base 16.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6551) 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 3 ways as a sum of consecutive naturals, for example, 31 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

It is an amenable number.

6556 is a deficient number, since it is larger than the sum of its proper divisors (6044).

6556 is a wasteful number, since it uses less digits than its factorization.

With its successor (6557) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (162).

6556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 6556 is about 80.9691299200. The cubic root of 6556 is about 18.7159976346.

It can be divided in two parts, 65 and 56, that added together give a palindrome (121).

The spelling of 6556 in words is "six thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 44 149 298 596 1639 3278 6556