Search a number
-
+
286393 is a prime number
BaseRepresentation
bin1000101111010111001
3112112212011
41011322321
533131033
610045521
72301652
oct1057271
9475764
10286393
11186198
121198a1
13a0483
1476529
1559ccd
hex45eb9

286393 has 2 divisors, whose sum is σ = 286394. Its totient is φ = 286392.

The previous prime is 286381. The next prime is 286397. The reversal of 286393 is 393682.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284089 + 2304 = 533^2 + 48^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-286393 is a prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (286397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143196 + 143197.

It is an arithmetic number, because the mean of its divisors is an integer number (143197).

2286393 is an apocalyptic number.

It is an amenable number.

286393 is a deficient number, since it is larger than the sum of its proper divisors (1).

286393 is an equidigital number, since it uses as much as digits as its factorization.

286393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

The square root of 286393 is about 535.1569863134. The cubic root of 286393 is about 65.9154871752.

The spelling of 286393 in words is "two hundred eighty-six thousand, three hundred ninety-three".