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4082337 = 32729257
BaseRepresentation
bin1111100100101010100001
321200101220200
433210222201
52021113322
6223255413
746461600
oct17445241
97611820
104082337
112339136
12144a569
13acc1ac
14783a37
155598ac
hex3e4aa1

4082337 has 18 divisors (see below), whose sum is σ = 6860178. Its totient is φ = 2332512.

The previous prime is 4082333. The next prime is 4082347. The reversal of 4082337 is 7332804.

4082337 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 only one way, i.e., 2547216 + 1535121 = 1596^2 + 1239^2 .

It is not a de Polignac number, because 4082337 - 22 = 4082333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4082337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082333) 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 17 ways as a sum of consecutive naturals, for example, 4188 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (381121).

Almost surely, 24082337 is an apocalyptic number.

It is an amenable number.

4082337 is a deficient number, since it is larger than the sum of its proper divisors (2777841).

4082337 is a wasteful number, since it uses less digits than its factorization.

4082337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4082337 is about 2020.4793985587. The cubic root of 4082337 is about 159.8218981761.

The spelling of 4082337 in words is "four million, eighty-two thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 9257 27771 64799 83313 194397 453593 583191 1360779 4082337