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827836065 = 3357876017
BaseRepresentation
bin110001010101111…
…100011010100001
32010200201102121000
4301111330122201
53143411223230
6214051222213
726341330140
oct6125743241
92120642530
10827836065
11395323541
121b12a7969
1310267ac34
147bd33757
154ca24b60
hex3157c6a1

827836065 has 32 divisors (see below), whose sum is σ = 1681954560. Its totient is φ = 378438912.

The previous prime is 827836057. The next prime is 827836067. The reversal of 827836065 is 560638728.

827836065 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 827836065 - 23 = 827836057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 827836065.

It is not an unprimeable number, because it can be changed into a prime (827836067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437064 + ... + 438953.

It is an arithmetic number, because the mean of its divisors is an integer number (52561080).

Almost surely, 2827836065 is an apocalyptic number.

It is an amenable number.

827836065 is an abundant number, since it is smaller than the sum of its proper divisors (854118495).

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

827836065 is a wasteful number, since it uses less digits than its factorization.

827836065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876038 (or 876032 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 827836065 is about 28772.1404313270. The cubic root of 827836065 is about 938.9622110159.

The spelling of 827836065 in words is "eight hundred twenty-seven million, eight hundred thirty-six thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 876017 2628051 4380085 6132119 7884153 13140255 18396357 23652459 30660595 39420765 55189071 91981785 118262295 165567213 275945355 827836065