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BaseRepresentation
bin1010110110100
321121210
41112310
5134211
641420
722125
oct12664
97553
105556
1141a1
123270
1326b5
14204c
1519a6
hex15b4

5556 has 12 divisors (see below), whose sum is σ = 12992. Its totient is φ = 1848.

The previous prime is 5531. The next prime is 5557. The reversal of 5556 is 6555.

Subtracting 5556 from its reverse (6555), we obtain a palindrome (999).

It can be divided in two parts, 555 and 6, that added together give a triangular number (561 = T33).

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5557) by changing a digit.

5556 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220 + ... + 243.

It is an amenable number.

5556 is an abundant number, since it is smaller than the sum of its proper divisors (7436).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496).

5556 is a wasteful number, since it uses less digits than its factorization.

5556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 5556 is about 74.5385806143. The cubic root of 5556 is about 17.7114484331.

The spelling of 5556 in words is "five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 463 926 1389 1852 2778 5556