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288969882 = 23271917713
BaseRepresentation
bin10001001110010…
…101010010011010
3202010202012011020
4101032111102122
51042434014012
644401343310
710106126535
oct2116252232
9663665136
10288969882
11139130393
1280937b36
1347b383c6
142a541a1c
151a580a8c
hex1139549a

288969882 has 16 divisors (see below), whose sum is σ = 578184960. Its totient is φ = 96282432.

The previous prime is 288969869. The next prime is 288969883.

288969882 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (288969883) 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 7 ways as a sum of consecutive naturals, for example, 7458 + ... + 25170.

It is an arithmetic number, because the mean of its divisors is an integer number (36136560).

Almost surely, 2288969882 is an apocalyptic number.

288969882 is an abundant number, since it is smaller than the sum of its proper divisors (289215078).

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

288969882 is a wasteful number, since it uses less digits than its factorization.

288969882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437.

The product of its digits is 7962624, while the sum is 60.

The square root of 288969882 is about 16999.1141533905. The cubic root of 288969882 is about 661.1259339399.

It can be divided in two parts, 2889 and 69882, that added together give a triangular number (72771 = T381).

The spelling of 288969882 in words is "two hundred eighty-eight million, nine hundred sixty-nine thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 2719 5438 8157 16314 17713 35426 53139 106278 48161647 96323294 144484941 288969882