Search a number
-
+
811048368 = 2431310312619
BaseRepresentation
bin110000010101111…
…001110110110000
32002112010112012110
4300111321312300
53130112021433
6212251325320
726045540334
oct6025716660
92075115173
10811048368
113868a7709
121a7750840
13cc0509a0
1479a037c4
154b30a963
hex30579db0

811048368 has 80 divisors (see below), whose sum is σ = 2278465280. Its totient is φ = 247110912.

The previous prime is 811048363. The next prime is 811048451. The reversal of 811048368 is 863840118.

811048368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (811048363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57963 + ... + 70581.

It is an arithmetic number, because the mean of its divisors is an integer number (28480816).

Almost surely, 2811048368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139232640).

811048368 is an abundant number, since it is smaller than the sum of its proper divisors (1467416912).

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

811048368 is a wasteful number, since it uses less digits than its factorization.

811048368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 811048368 is about 28478.9109342334. The cubic root of 811048368 is about 932.5717417557.

The spelling of 811048368 in words is "eight hundred eleven million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1236 1339 1648 2472 2678 4017 4944 5356 8034 10712 12619 16068 21424 25238 32136 37857 50476 64272 75714 100952 151428 164047 201904 302856 328094 492141 605712 656188 984282 1299757 1312376 1968564 2599514 2624752 3899271 3937128 5199028 7798542 7874256 10398056 15597084 16896841 20796112 31194168 33793682 50690523 62388336 67587364 101381046 135174728 202762092 270349456 405524184 811048368