Search a number
-
+
249818868 = 223213533801
BaseRepresentation
bin11101110001111…
…10111011110100
3122102002010001200
432320332323310
51002423200433
640442252500
76122265615
oct1670767364
9572063050
10249818868
1111901a682
126b7b7130
133c9ab120
142526dc0c
1516dea613
hexee3eef4

249818868 has 36 divisors (see below), whose sum is σ = 680063748. Its totient is φ = 76867200.

The previous prime is 249818831. The next prime is 249818869. The reversal of 249818868 is 868818942.

It can be written as a sum of positive squares in 2 ways, for example, as 31606884 + 218211984 = 5622^2 + 14772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249818869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266433 + ... + 267368.

Almost surely, 2249818868 is an apocalyptic number.

It is an amenable number.

249818868 is an abundant number, since it is smaller than the sum of its proper divisors (430244880).

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

249818868 is a wasteful number, since it uses less digits than its factorization.

249818868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533824 (or 533819 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 249818868 is about 15805.6593661891. The cubic root of 249818868 is about 629.8083468427.

The spelling of 249818868 in words is "two hundred forty-nine million, eight hundred eighteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 533801 1067602 1601403 2135204 3202806 4804209 6405612 6939413 9608418 13878826 19216836 20818239 27757652 41636478 62454717 83272956 124909434 249818868