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268052829 = 31129280097
BaseRepresentation
bin11111111101000…
…10100101011101
3200200101111100120
433332202211131
51022110142304
642333145153
76433261062
oct1776424535
9620344316
10268052829
11128344070
127592b1b9
13436c3755
1427858c69
15187ed0d9
hexffa295d

268052829 has 16 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 156853760.

The previous prime is 268052809. The next prime is 268052839. The reversal of 268052829 is 928250862.

It is a cyclic number.

It is not a de Polignac number, because 268052829 - 223 = 259664221 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268052809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139092 + ... + 141005.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2268052829 is an apocalyptic number.

268052829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

268052829 is a deficient number, since it is larger than the sum of its proper divisors (135288291).

268052829 is a wasteful number, since it uses less digits than its factorization.

268052829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280140.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 268052829 is about 16372.3189866311. The cubic root of 268052829 is about 644.7729337138.

The spelling of 268052829 in words is "two hundred sixty-eight million, fifty-two thousand, eight hundred twenty-nine".

Divisors: 1 3 11 29 33 87 319 957 280097 840291 3081067 8122813 9243201 24368439 89350943 268052829