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4129729 is a prime number
BaseRepresentation
bin1111110000001111000001
321202210220221
433300033001
52024122404
6224303041
750050012
oct17601701
97683827
104129729
1123707aa
121471a81
13b17936
14797009
15568954
hex3f03c1

4129729 has 2 divisors, whose sum is σ = 4129730. Its totient is φ = 4129728.

The previous prime is 4129721. The next prime is 4129751. The reversal of 4129729 is 9279214.

It is a happy number.

4129729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2169729 + 1960000 = 1473^2 + 1400^2 .

It is a cyclic number.

It is not a de Polignac number, because 4129729 - 23 = 4129721 is a prime.

It is a super-2 number, since 2×41297292 = 34109323226882, which contains 22 as substring.

4129729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4129694 and 4129703.

It is not a weakly prime, because it can be changed into another prime (4129721) 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 as a sum of consecutive naturals, namely, 2064864 + 2064865.

It is an arithmetic number, because the mean of its divisors is an integer number (2064865).

Almost surely, 24129729 is an apocalyptic number.

It is an amenable number.

4129729 is a deficient number, since it is larger than the sum of its proper divisors (1).

4129729 is an equidigital number, since it uses as much as digits as its factorization.

4129729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 34.

The square root of 4129729 is about 2032.1734670052. The cubic root of 4129729 is about 160.4379796798.

The spelling of 4129729 in words is "four million, one hundred twenty-nine thousand, seven hundred twenty-nine".