Search a number
-
+
828362421 = 32263349963
BaseRepresentation
bin110001010111111…
…100111010110101
32010201201011121200
4301113330322311
53144030044141
6214110403113
726345651535
oct6127747265
92121634550
10828362421
11395652a47
121b1500499
131028036a3
147c02d4c5
154cacaab6
hex315fceb5

828362421 has 12 divisors (see below), whose sum is σ = 1201076448. Its totient is φ = 550140264.

The previous prime is 828362407. The next prime is 828362461. The reversal of 828362421 is 124263828.

828362421 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 624 + 21 = 666.

It is not a de Polignac number, because 828362421 - 215 = 828329653 is a prime.

It is a super-3 number, since 3×8283624213 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828362461) 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 11 ways as a sum of consecutive naturals, for example, 172615 + ... + 177348.

It is an arithmetic number, because the mean of its divisors is an integer number (100089704).

Almost surely, 2828362421 is an apocalyptic number.

It is an amenable number.

828362421 is a deficient number, since it is larger than the sum of its proper divisors (372714027).

828362421 is a wasteful number, since it uses less digits than its factorization.

828362421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350232 (or 350229 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 828362421 is about 28781.2859511176. The cubic root of 828362421 is about 939.1611729861.

The spelling of 828362421 in words is "eight hundred twenty-eight million, three hundred sixty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 263 789 2367 349963 1049889 3149667 92040269 276120807 828362421