Search a number
-
+
268768878 = 237171013727
BaseRepresentation
bin10000000001010…
…001011001101110
3200201201212120220
4100001101121232
51022301101003
642400352210
76442332510
oct2001213156
9621655526
10268768878
11128793044
1276015666
13438b4651
14279a3bb0
15188e0353
hex1005166e

268768878 has 64 divisors (see below), whose sum is σ = 657082368. Its totient is φ = 71539200.

The previous prime is 268768837. The next prime is 268768879. The reversal of 268768878 is 878867862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268768879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70251 + ... + 73977.

It is an arithmetic number, because the mean of its divisors is an integer number (10266912).

Almost surely, 2268768878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268768878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328541184).

268768878 is an abundant number, since it is smaller than the sum of its proper divisors (388313490).

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

268768878 is a wasteful number, since it uses less digits than its factorization.

268768878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857.

The product of its digits is 14450688, while the sum is 60.

The square root of 268768878 is about 16394.1720742464. The cubic root of 268768878 is about 645.3465501438.

The spelling of 268768878 in words is "two hundred sixty-eight million, seven hundred sixty-eight thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 101 102 119 202 238 303 357 606 707 714 1414 1717 2121 3434 3727 4242 5151 7454 10302 11181 12019 22362 24038 26089 36057 52178 63359 72114 78267 126718 156534 190077 376427 380154 443513 752854 887026 1129281 1330539 2258562 2634989 2661078 5269978 6399259 7904967 12798518 15809934 19197777 38395554 44794813 89589626 134384439 268768878