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288682042 = 21126411861
BaseRepresentation
bin10001001101001…
…111000000111010
3202010012120022111
4101031033000322
51042400311132
644351242534
710103520415
oct2115170072
9663176274
10288682042
11138a54100
128081944a
1347a6739c
142a4a8b7c
151a525647
hex1134f03a

288682042 has 24 divisors (see below), whose sum is σ = 476966196. Its totient is φ = 130944000.

The previous prime is 288682019. The next prime is 288682057. The reversal of 288682042 is 240286882.

288682042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 282878761 + 5803281 = 16819^2 + 2409^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288681986 and 288682004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 154192 + ... + 156052.

Almost surely, 2288682042 is an apocalyptic number.

288682042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288682042 is a deficient number, since it is larger than the sum of its proper divisors (188284154).

288682042 is a wasteful number, since it uses less digits than its factorization.

288682042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 288682042 is about 16990.6457205134. The cubic root of 288682042 is about 660.9063473781.

The spelling of 288682042 in words is "two hundred eighty-eight million, six hundred eighty-two thousand, forty-two".

Divisors: 1 2 11 22 121 242 641 1282 1861 3722 7051 14102 20471 40942 77561 155122 225181 450362 1192901 2385802 13121911 26243822 144341021 288682042