Search a number
-
+
258263742 = 231117322619
BaseRepresentation
bin11110110010011…
…00101010111110
3122222222011020210
433121030222332
51012103414432
641343253250
76254130342
oct1731145276
9588864223
10258263742
11122868410
12725aa226
1341676ba9
142642b622
1517a178cc
hexf64cabe

258263742 has 32 divisors (see below), whose sum is σ = 566766720. Its totient is φ = 77805920.

The previous prime is 258263741. The next prime is 258263773. The reversal of 258263742 is 247362852.

It is a self number, because there is not a number n which added to its sum of digits gives 258263742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258263741) 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 15 ways as a sum of consecutive naturals, for example, 109 + ... + 22727.

It is an arithmetic number, because the mean of its divisors is an integer number (17711460).

Almost surely, 2258263742 is an apocalyptic number.

258263742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

258263742 is an abundant number, since it is smaller than the sum of its proper divisors (308502978).

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

258263742 is a wasteful number, since it uses less digits than its factorization.

258263742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22808.

The product of its digits is 161280, while the sum is 39.

The square root of 258263742 is about 16070.5862369734. The cubic root of 258263742 is about 636.8265281465.

The spelling of 258263742 in words is "two hundred fifty-eight million, two hundred sixty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 173 346 519 1038 1903 3806 5709 11418 22619 45238 67857 135714 248809 497618 746427 1492854 3913087 7826174 11739261 23478522 43043957 86087914 129131871 258263742