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286363541 is a prime number
BaseRepresentation
bin10001000100011…
…000111110010101
3201221211202221002
4101010120332111
51041302113131
644225433045
710045023062
oct2104307625
9657752832
10286363541
11137710192
127ba9b785
1347434ca9
142a063c69
151a2186cb
hex11118f95

286363541 has 2 divisors, whose sum is σ = 286363542. Its totient is φ = 286363540.

The previous prime is 286363507. The next prime is 286363543. The reversal of 286363541 is 145363682.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179158225 + 107205316 = 13385^2 + 10354^2 .

It is a cyclic number.

It is not a de Polignac number, because 286363541 - 26 = 286363477 is a prime.

It is a super-2 number, since 2×2863635412 = 164008155228117362, which contains 22 as substring.

Together with 286363543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 286363495 and 286363504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (286363543) 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 as a sum of consecutive naturals, namely, 143181770 + 143181771.

It is an arithmetic number, because the mean of its divisors is an integer number (143181771).

Almost surely, 2286363541 is an apocalyptic number.

It is an amenable number.

286363541 is a deficient number, since it is larger than the sum of its proper divisors (1).

286363541 is an equidigital number, since it uses as much as digits as its factorization.

286363541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 38.

The square root of 286363541 is about 16922.2794268385. The cubic root of 286363541 is about 659.1322702806.

The spelling of 286363541 in words is "two hundred eighty-six million, three hundred sixty-three thousand, five hundred forty-one".