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828046011 = 313191117471
BaseRepresentation
bin110001010110101…
…111101010111011
32010201010002120210
4301112233222323
53143434433021
6214055522203
726343163212
oct6126575273
92121102523
10828046011
11395457251
121b1389363
13102722670
147bd8a079
154ca66e76
hex315afabb

828046011 has 16 divisors (see below), whose sum is σ = 1251568640. Its totient is φ = 482747040.

The previous prime is 828046007. The next prime is 828046039. The reversal of 828046011 is 110640828.

It is not a de Polignac number, because 828046011 - 22 = 828046007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 828046011.

It is not an unprimeable number, because it can be changed into a prime (828046001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557995 + ... + 559476.

It is an arithmetic number, because the mean of its divisors is an integer number (78223040).

Almost surely, 2828046011 is an apocalyptic number.

828046011 is a deficient number, since it is larger than the sum of its proper divisors (423522629).

828046011 is a wasteful number, since it uses less digits than its factorization.

828046011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117506.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 828046011 is about 28775.7886251620. The cubic root of 828046011 is about 939.0415804733.

Adding to 828046011 its reverse (110640828), we get a palindrome (938686839).

The spelling of 828046011 in words is "eight hundred twenty-eight million, forty-six thousand, eleven".

Divisors: 1 3 13 19 39 57 247 741 1117471 3352413 14527123 21231949 43581369 63695847 276015337 828046011