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268738038 = 23259253049
BaseRepresentation
bin10000000001001…
…001110111110110
3200201200022021200
4100001021313312
51022244104123
642355553330
76442143552
oct2001116766
9621608250
10268738038
11128771958
1275bbb846
13438a35ba
1427996862
15188d6143
hex10049df6

268738038 has 24 divisors (see below), whose sum is σ = 592137000. Its totient is φ = 88060704.

The previous prime is 268738031. The next prime is 268738051. The reversal of 268738038 is 830837862.

268738038 is a `hidden beast` number, since 268 + 7 + 380 + 3 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268737984 and 268738002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268738031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125463 + ... + 127586.

It is an arithmetic number, because the mean of its divisors is an integer number (24672375).

Almost surely, 2268738038 is an apocalyptic number.

268738038 is an abundant number, since it is smaller than the sum of its proper divisors (323398962).

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

268738038 is a wasteful number, since it uses less digits than its factorization.

268738038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253116 (or 253113 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 268738038 is about 16393.2314691155. The cubic root of 268738038 is about 645.3218656775.

The spelling of 268738038 in words is "two hundred sixty-eight million, seven hundred thirty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 253049 506098 759147 1518294 2277441 4554882 14929891 29859782 44789673 89579346 134369019 268738038