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268828 = 2279601
BaseRepresentation
bin1000001101000011100
3111122202121
41001220130
532100303
65432324
72166520
oct1015034
9448677
10268828
11173a7a
1210b6a4
1395491
146dd80
15549bd
hex41a1c

268828 has 12 divisors (see below), whose sum is σ = 537712. Its totient is φ = 115200.

The previous prime is 268823. The next prime is 268841. The reversal of 268828 is 828862.

It is a happy number.

268828 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 268793 and 268802.

It is a congruent number.

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

268828 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4773 + ... + 4828.

2268828 is an apocalyptic number.

268828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

268828 is a wasteful number, since it uses less digits than its factorization.

268828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612 (or 9610 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 268828 is about 518.4862582557. The cubic root of 268828 is about 64.5393866363.

Adding to 268828 its sum of digits (34), we get a palindrome (268862).

The spelling of 268828 in words is "two hundred sixty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 9601 19202 38404 67207 134414 268828