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4083209 = 13237653
BaseRepresentation
bin1111100100111000001001
321200110002222
433210320021
52021130314
6223303425
746464254
oct17447011
97613088
104083209
112339859
12144ab75
13acc700
1478409b
15559c8e
hex3e4e09

4083209 has 12 divisors (see below), whose sum is σ = 4547916. Its totient is φ = 3661632.

The previous prime is 4083203. The next prime is 4083223. The reversal of 4083209 is 9023804.

4083209 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 6 ways, for example, as 366025 + 3717184 = 605^2 + 1928^2 .

It is a de Polignac number, because none of the positive numbers 2k-4083209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083203) 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 11 ways as a sum of consecutive naturals, for example, 5927 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (378993).

Almost surely, 24083209 is an apocalyptic number.

It is an amenable number.

4083209 is a deficient number, since it is larger than the sum of its proper divisors (464707).

4083209 is a wasteful number, since it uses less digits than its factorization.

4083209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4083209 is about 2020.6951774080. The cubic root of 4083209 is about 159.8332768524.

The spelling of 4083209 in words is "four million, eighty-three thousand, two hundred nine".

Divisors: 1 13 37 169 481 653 6253 8489 24161 110357 314093 4083209