Search a number
-
+
286336 = 272237
BaseRepresentation
bin1000101111010000000
3112112210001
41011322000
533130321
610045344
72301541
oct1057200
9475701
10286336
11186146
12119854
13a043b
14764c8
1559c91
hex45e80

286336 has 16 divisors (see below), whose sum is σ = 570690. Its totient is φ = 143104.

The previous prime is 286333. The next prime is 286367. The reversal of 286336 is 633682.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 78400 = 456^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (286333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 991 + ... + 1246.

2286336 is an apocalyptic number.

It is an amenable number.

286336 is a deficient number, since it is larger than the sum of its proper divisors (284354).

286336 is an equidigital number, since it uses as much as digits as its factorization.

286336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2239 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 286336 is about 535.1037282621. The cubic root of 286336 is about 65.9111138932.

The spelling of 286336 in words is "two hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 2237 4474 8948 17896 35792 71584 143168 286336