Search a number
-
+
828327561 = 3793539901
BaseRepresentation
bin110001010111110…
…100011010001001
32010201122101210120
4301113310122021
53144022440221
6214105533453
726345445105
oct6127643211
92121571716
10828327561
11395629836
121b14a4289
131027c0869
147c020905
154cac05c6
hex315f4689

828327561 has 16 divisors (see below), whose sum is σ = 1121698560. Its totient is φ = 543628800.

The previous prime is 828327559. The next prime is 828327571. The reversal of 828327561 is 165723828.

828327561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828327561 - 21 = 828327559 is a prime.

It is a super-2 number, since 2×8283275612 = 1372253096624417442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828327571) 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, 78711 + ... + 88611.

It is an arithmetic number, because the mean of its divisors is an integer number (70106160).

Almost surely, 2828327561 is an apocalyptic number.

It is an amenable number.

828327561 is a deficient number, since it is larger than the sum of its proper divisors (293370999).

828327561 is a wasteful number, since it uses less digits than its factorization.

828327561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336.

The product of its digits is 161280, while the sum is 42.

The square root of 828327561 is about 28780.6803428967. The cubic root of 828327561 is about 939.1479985522.

The spelling of 828327561 in words is "eight hundred twenty-eight million, three hundred twenty-seven thousand, five hundred sixty-one".

Divisors: 1 3 79 237 353 1059 9901 27887 29703 83661 782179 2346537 3495053 10485159 276109187 828327561