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1026006829 is a prime number
BaseRepresentation
bin111101001001111…
…001111100101101
32122111121112202221
4331021321330231
54100124204304
6245450515341
734265625361
oct7511717455
92574545687
101026006829
11487177131
12247735b51
13134744743
149a39b2a1
156011c054
hex3d279f2d

1026006829 has 2 divisors, whose sum is σ = 1026006830. Its totient is φ = 1026006828.

The previous prime is 1026006823. The next prime is 1026006833. The reversal of 1026006829 is 9286006201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 975625225 + 50381604 = 31235^2 + 7098^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026006829 - 211 = 1026004781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1026006794 and 1026006803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1026006823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513003414 + 513003415.

It is an arithmetic number, because the mean of its divisors is an integer number (513003415).

Almost surely, 21026006829 is an apocalyptic number.

It is an amenable number.

1026006829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026006829 is an equidigital number, since it uses as much as digits as its factorization.

1026006829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1026006829 is about 32031.3413549917. The cubic root of 1026006829 is about 1008.5948597472.

The spelling of 1026006829 in words is "one billion, twenty-six million, six thousand, eight hundred twenty-nine".