Search a number
-
+
286338648 = 23353225109
BaseRepresentation
bin10001000100010…
…010111001011000
3201221210111210010
4101010102321120
51041300314043
644225121520
710044560361
oct2104227130
9657714703
10286338648
111376a3512
127ba892a0
134742686b
142a058b68
151a211133
hex11112e58

286338648 has 32 divisors (see below), whose sum is σ = 729356400. Its totient is φ = 93644928.

The previous prime is 286338601. The next prime is 286338659. The reversal of 286338648 is 846833682.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 286338597 and 286338606.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 111283 + ... + 113826.

Almost surely, 2286338648 is an apocalyptic number.

It is an amenable number.

286338648 is an abundant number, since it is smaller than the sum of its proper divisors (443017752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286338648 is a wasteful number, since it uses less digits than its factorization.

286338648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225171 (or 225167 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 286338648 is about 16921.5439011929. The cubic root of 286338648 is about 659.1131707181.

The spelling of 286338648 in words is "two hundred eighty-six million, three hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 225109 450218 675327 900436 1350654 1800872 2701308 5402616 11930777 23861554 35792331 47723108 71584662 95446216 143169324 286338648