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827823231 = 32223941081
BaseRepresentation
bin110001010101111…
…001010001111111
32010200200202222200
4301111321101333
53143410320411
6214051042543
726341244544
oct6125712177
92120622880
10827823231
11395314934
121b12a0453
13102675141
147bd2cbcb
154ca20e56
hex3157947f

827823231 has 12 divisors (see below), whose sum is σ = 1196307840. Its totient is φ = 551622240.

The previous prime is 827823203. The next prime is 827823233. The reversal of 827823231 is 132328728.

It is a happy number.

It is not a de Polignac number, because 827823231 - 26 = 827823167 is a prime.

It is a super-2 number, since 2×8278232312 = 1370582603566558722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827823233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 40691.

It is an arithmetic number, because the mean of its divisors is an integer number (99692320).

Almost surely, 2827823231 is an apocalyptic number.

827823231 is a deficient number, since it is larger than the sum of its proper divisors (368484609).

827823231 is a wasteful number, since it uses less digits than its factorization.

827823231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43326 (or 43323 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 827823231 is about 28771.9174022170. The cubic root of 827823231 is about 938.9573587253.

The spelling of 827823231 in words is "eight hundred twenty-seven million, eight hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 2239 6717 20151 41081 123243 369729 91980359 275941077 827823231