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8816 = 241929
BaseRepresentation
bin10001001110000
3110002112
42021300
5240231
6104452
734463
oct21160
913075
108816
116695
125128
134022
1432da
15292b
hex2270

8816 has 20 divisors (see below), whose sum is σ = 18600. Its totient is φ = 4032.

The previous prime is 8807. The next prime is 8819. The reversal of 8816 is 6188.

Subtracting from 8816 its reverse (6188), we obtain a triangular number (2628 = T72).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8791 and 8800.

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 8816.

It is not an unprimeable number, because it can be changed into a prime (8819) by changing a digit.

8816 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 3 ways as a sum of consecutive naturals, for example, 290 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

28816 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 8816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300).

8816 is an abundant number, since it is smaller than the sum of its proper divisors (9784).

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

8816 is a wasteful number, since it uses less digits than its factorization.

8816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 8816 is about 93.8935567544. The cubic root of 8816 is about 20.6581072197.

The spelling of 8816 in words is "eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 2204 4408 8816