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3829105 = 57215629
BaseRepresentation
bin1110100110110101110001
321012112112201
432212311301
51440012410
6214023201
744355400
oct16466561
97175481
103829105
112185955
121347b01
13a40b57
14719637
1550983a
hex3a6d71

3829105 has 12 divisors (see below), whose sum is σ = 5345460. Its totient is φ = 2625504.

The previous prime is 3829103. The next prime is 3829121. The reversal of 3829105 is 5019283.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 815409 = 1736^2 + 903^2 .

It is not a de Polignac number, because 3829105 - 21 = 3829103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7570 + ... + 8059.

It is an arithmetic number, because the mean of its divisors is an integer number (445455).

Almost surely, 23829105 is an apocalyptic number.

3829105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3829105 is a deficient number, since it is larger than the sum of its proper divisors (1516355).

3829105 is a wasteful number, since it uses less digits than its factorization.

3829105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 3829105 is about 1956.8099038997. The cubic root of 3829105 is about 156.4464664624.

The spelling of 3829105 in words is "three million, eight hundred twenty-nine thousand, one hundred five".

Divisors: 1 5 7 35 49 245 15629 78145 109403 547015 765821 3829105