Search a number
-
+
286944841 is a prime number
BaseRepresentation
bin10001000110100…
…110111001001001
3201222221022022201
4101012212321021
51041424213331
644250120201
710052663611
oct2106467111
9658838281
10286944841
11137a779a7
1280120061
13475a9761
142a175a41
151a2d0a61
hex111a6e49

286944841 has 2 divisors, whose sum is σ = 286944842. Its totient is φ = 286944840.

The previous prime is 286944799. The next prime is 286944883. The reversal of 286944841 is 148449682.

It is the 6916-th star number.

It is a balanced prime because it is at equal distance from previous prime (286944799) and next prime (286944883).

It can be written as a sum of positive squares in only one way, i.e., 276889600 + 10055241 = 16640^2 + 3171^2 .

It is a cyclic number.

It is not a de Polignac number, because 286944841 - 219 = 286420553 is a prime.

It is a super-3 number, since 3×2869448413 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286944791 and 286944800.

It is not a weakly prime, because it can be changed into another prime (286944041) 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, 143472420 + 143472421.

It is an arithmetic number, because the mean of its divisors is an integer number (143472421).

Almost surely, 2286944841 is an apocalyptic number.

It is an amenable number.

286944841 is a deficient number, since it is larger than the sum of its proper divisors (1).

286944841 is an equidigital number, since it uses as much as digits as its factorization.

286944841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 442368, while the sum is 46.

The square root of 286944841 is about 16939.4463014586. The cubic root of 286944841 is about 659.5779678720.

The spelling of 286944841 in words is "two hundred eighty-six million, nine hundred forty-four thousand, eight hundred forty-one".