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268829 = 1124439
BaseRepresentation
bin1000001101000011101
3111122202122
41001220131
532100304
65432325
72166521
oct1015035
9448678
10268829
11173a80
1210b6a5
1395492
146dd81
15549be
hex41a1d

268829 has 4 divisors (see below), whose sum is σ = 293280. Its totient is φ = 244380.

The previous prime is 268823. The next prime is 268841. The reversal of 268829 is 928862.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 268829 - 24 = 268813 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 24 + 62 + 8 + 82 + 218 + 94 .

It is a Duffinian number.

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 268829.

It is not an unprimeable number, because it can be changed into a prime (268823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12209 + ... + 12230.

It is an arithmetic number, because the mean of its divisors is an integer number (73320).

2268829 is an apocalyptic number.

It is an amenable number.

268829 is a deficient number, since it is larger than the sum of its proper divisors (24451).

268829 is a wasteful number, since it uses less digits than its factorization.

268829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24450.

The product of its digits is 13824, while the sum is 35.

The square root of 268829 is about 518.4872226005. The cubic root of 268829 is about 64.5394666618.

The spelling of 268829 in words is "two hundred sixty-eight thousand, eight hundred twenty-nine".

Divisors: 1 11 24439 268829