Search a number
-
+
826884306 = 23245938017
BaseRepresentation
bin110001010010010…
…100000011010010
32010121221002000200
4301102110003102
53143140244211
6214015000030
726330254263
oct6122240322
92117832020
10826884306
11394833466
121b0b09016
13102406971
147bb6696a
154c8d7b56
hex314940d2

826884306 has 12 divisors (see below), whose sum is σ = 1791582702. Its totient is φ = 275628096.

The previous prime is 826884299. The next prime is 826884307. The reversal of 826884306 is 603488628.

It is a happy number.

826884306 is a `hidden beast` number, since 8 + 268 + 84 + 306 = 666.

It can be written as a sum of positive squares in only one way, i.e., 821338281 + 5546025 = 28659^2 + 2355^2 .

It is a Smith number, since the sum of its digits (45) 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 (826884307) 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 in 5 ways as a sum of consecutive naturals, for example, 22968991 + ... + 22969026.

Almost surely, 2826884306 is an apocalyptic number.

826884306 is an abundant number, since it is smaller than the sum of its proper divisors (964698396).

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

826884306 is a wasteful number, since it uses less digits than its factorization.

826884306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45938025 (or 45938022 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 826884306 is about 28755.5960814586. The cubic root of 826884306 is about 938.6022329668.

The spelling of 826884306 in words is "eight hundred twenty-six million, eight hundred eighty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 45938017 91876034 137814051 275628102 413442153 826884306