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4082729 = 7311903
BaseRepresentation
bin1111100100110000101001
321200102110012
433210300221
52021121404
6223301305
746463000
oct17446051
97612405
104082729
112339462
12144a835
13acc421
14783c37
15559a6e
hex3e4c29

4082729 has 8 divisors (see below), whose sum is σ = 4761600. Its totient is φ = 3499188.

The previous prime is 4082719. The next prime is 4082747. The reversal of 4082729 is 9272804.

4082729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4082729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4082695 and 4082704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082719) 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 7 ways as a sum of consecutive naturals, for example, 5609 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 24082729 is an apocalyptic number.

4082729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4082729 is a deficient number, since it is larger than the sum of its proper divisors (678871).

4082729 is an equidigital number, since it uses as much as digits as its factorization.

4082729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4082729 is about 2020.5764029108. The cubic root of 4082729 is about 159.8270135613.

The spelling of 4082729 in words is "four million, eighty-two thousand, seven hundred twenty-nine".

Divisors: 1 7 49 343 11903 83321 583247 4082729