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8856 = 233341

8856 has 32 divisors (see below), whose sum is σ = 25200. Its totient is φ = 2880.

The previous prime is 8849. The next prime is 8861. The reversal of 8856 is 6588.

8856 = T43 + T44 + ... + T50.

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

It is an Ulam number.

It is a zygodrome in base 3.

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 8856.

It is an unprimeable number.

8856 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 7 ways as a sum of consecutive naturals, for example, 196 + ... + 236.

28856 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 8856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

8856 is an abundant number, since it is smaller than the sum of its proper divisors (16344).

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

8856 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (8855) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (46).

8856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8856 is about 94.1063228481. The cubic root of 8856 is about 20.6893034423.

It can be divided in two parts, 88 and 56, that added together give a square (144 = 122).

The spelling of 8856 in words is "eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856