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8829 = 34109
BaseRepresentation
bin10001001111101
3110010000
42021331
5240304
6104513
734512
oct21175
913100
108829
1166a7
125139
134032
143309
152939
hex227d

8829 has 10 divisors (see below), whose sum is σ = 13310. Its totient is φ = 5832.

The previous prime is 8821. The next prime is 8831. The reversal of 8829 is 9288.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 729 = 90^2 + 27^2 .

It is not a de Polignac number, because 8829 - 23 = 8821 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

8829 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8821) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1331).

28829 is an apocalyptic number.

It is an amenable number.

8829 is a deficient number, since it is larger than the sum of its proper divisors (4481).

8829 is a wasteful number, since it uses less digits than its factorization.

8829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8829 is about 93.9627585802. The cubic root of 8829 is about 20.6682563236.

It can be divided in two parts, 88 and 29, that multiplied together give a palindrome (2552).

The spelling of 8829 in words is "eight thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 81 109 327 981 2943 8829