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286944968 = 235321132
BaseRepresentation
bin10001000110100…
…110111011001000
3201222221022111102
4101012212323020
51041424214333
644250120532
710052664152
oct2106467310
9658838442
10286944968
11137a78002
1280120148
13475a982b
142a175ad2
151a2d0ae8
hex111a6ec8

286944968 has 36 divisors (see below), whose sum is σ = 553260435. Its totient is φ = 139519744.

The previous prime is 286944961. The next prime is 286944979. The reversal of 286944968 is 869449682.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 35976004 + 250968964 = 5998^2 + 15842^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11978.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (286944961) 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 8 ways as a sum of consecutive naturals, for example, 2539280 + ... + 2539392.

Almost surely, 2286944968 is an apocalyptic number.

It is an amenable number.

286944968 is a deficient number, since it is larger than the sum of its proper divisors (266315467).

286944968 is an equidigital number, since it uses as much as digits as its factorization.

286944968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 168 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 286944968 is about 16939.4500501049. The cubic root of 286944968 is about 659.5780651804.

The spelling of 286944968 in words is "two hundred eighty-six million, nine hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 53 106 113 212 226 424 452 904 2809 5618 5989 11236 11978 12769 22472 23956 25538 47912 51076 102152 317417 634834 676757 1269668 1353514 2539336 2707028 5414056 35868121 71736242 143472484 286944968