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906768829 is a prime number
BaseRepresentation
bin110110000011000…
…011000110111101
32100012020121222201
4312003003012331
53324113100304
6225551111501
731320256621
oct6603030675
92305217881
10906768829
1142593592a
12213812591
13115b26605
14885dd181
15549173a4
hex360c31bd

906768829 has 2 divisors, whose sum is σ = 906768830. Its totient is φ = 906768828.

The previous prime is 906768827. The next prime is 906768847. The reversal of 906768829 is 928867609.

906768829 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., 665743204 + 241025625 = 25802^2 + 15525^2 .

It is a cyclic number.

It is not a de Polignac number, because 906768829 - 21 = 906768827 is a prime.

Together with 906768827, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 906768829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (906768823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453384414 + 453384415.

It is an arithmetic number, because the mean of its divisors is an integer number (453384415).

Almost surely, 2906768829 is an apocalyptic number.

It is an amenable number.

906768829 is a deficient number, since it is larger than the sum of its proper divisors (1).

906768829 is an equidigital number, since it uses as much as digits as its factorization.

906768829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The square root of 906768829 is about 30112.6024946367. The cubic root of 906768829 is about 967.9037983108.

The spelling of 906768829 in words is "nine hundred six million, seven hundred sixty-eight thousand, eight hundred twenty-nine".