Search a number
-
+
238628793 = 3133126367
BaseRepresentation
bin11100011100100…
…10111110111001
3121122000121011110
432032102332321
5442042110133
635402350533
75625211524
oct1616227671
9548017143
10238628793
11112777387
1267abb449
133a590990
1423999bbb
1515e39c63
hexe392fb9

238628793 has 24 divisors (see below), whose sum is σ = 354111744. Its totient is φ = 142089120.

The previous prime is 238628759. The next prime is 238628807. The reversal of 238628793 is 397826832.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-238628793 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (238628293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34296 + ... + 40662.

It is an arithmetic number, because the mean of its divisors is an integer number (14754656).

Almost surely, 2238628793 is an apocalyptic number.

It is an amenable number.

238628793 is a deficient number, since it is larger than the sum of its proper divisors (115482951).

238628793 is a wasteful number, since it uses less digits than its factorization.

238628793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6414 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 238628793 is about 15447.6144760283. The cubic root of 238628793 is about 620.2607236779.

The spelling of 238628793 in words is "two hundred thirty-eight million, six hundred twenty-eight thousand, seven hundred ninety-three".

Divisors: 1 3 13 31 39 93 403 961 1209 2883 6367 12493 19101 37479 82771 197377 248313 592131 2565901 6118687 7697703 18356061 79542931 238628793