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5656 = 237101

5656 has 16 divisors (see below), whose sum is σ = 12240. Its totient is φ = 2400.

The previous prime is 5653. The next prime is 5657. The reversal of 5656 is 6565.

5656 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between odd and even.

5656 is an undulating number in base 10.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5651) 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, 6 + ... + 106.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

5656 is a gapful number since it is divisible by the number (56) 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 5656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120).

5656 is an abundant number, since it is smaller than the sum of its proper divisors (6584).

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

5656 is a wasteful number, since it uses less digits than its factorization.

5656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

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

The square root of 5656 is about 75.2063827079. The cubic root of 5656 is about 17.8170774119.

Adding to 5656 its product of digits (900), we get a palindrome (6556).

Adding to 5656 its reverse (6565), we get a palindrome (12221).

Subtracting 5656 from its reverse (6565), we obtain a palindrome (909).

The spelling of 5656 in words is "five thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 5656