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3828105 = 32597877
BaseRepresentation
bin1110100110100110001001
321012111011200
432212212021
51434444410
6214014413
744352441
oct16464611
97174150
103828105
112185126
121347409
13a40568
14719121
155093c0
hex3a6989

3828105 has 24 divisors (see below), whose sum is σ = 6711432. Its totient is φ = 2018304.

The previous prime is 3828091. The next prime is 3828109. The reversal of 3828105 is 5018283.

It is a happy number.

3828105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 2996361 = 912^2 + 1731^2 .

It is not a de Polignac number, because 3828105 - 25 = 3828073 is a prime.

It is a Curzon number.

3828105 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3927 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (279643).

Almost surely, 23828105 is an apocalyptic number.

It is an amenable number.

3828105 is a deficient number, since it is larger than the sum of its proper divisors (2883327).

3828105 is a wasteful number, since it uses less digits than its factorization.

3828105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3828105 is about 1956.5543692931. The cubic root of 3828105 is about 156.4328462137.

The spelling of 3828105 in words is "three million, eight hundred twenty-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 877 1455 2631 4365 4385 7893 13155 39465 85069 255207 425345 765621 1276035 3828105