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426816801 = 32281168769
BaseRepresentation
bin11001011100001…
…011010100100001
31002202010112120200
4121130023110201
51333231114201
6110204055413
713401611565
oct3134132441
91082115520
10426816801
111a9a21864
12bab34569
136a570728
14409856a5
152770e386
hex1970b521

426816801 has 12 divisors (see below), whose sum is σ = 618710820. Its totient is φ = 283530240.

The previous prime is 426816799. The next prime is 426816811. The reversal of 426816801 is 108618624.

It can be written as a sum of positive squares in 2 ways, for example, as 275526801 + 151290000 = 16599^2 + 12300^2 .

It is not a de Polignac number, because 426816801 - 21 = 426816799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (426816811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81856 + ... + 86913.

It is an arithmetic number, because the mean of its divisors is an integer number (51559235).

Almost surely, 2426816801 is an apocalyptic number.

It is an amenable number.

426816801 is a deficient number, since it is larger than the sum of its proper divisors (191894019).

426816801 is a wasteful number, since it uses less digits than its factorization.

426816801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169056 (or 169053 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 426816801 is about 20659.5450337126. The cubic root of 426816801 is about 752.9171138853.

The spelling of 426816801 in words is "four hundred twenty-six million, eight hundred sixteen thousand, eight hundred one".

Divisors: 1 3 9 281 843 2529 168769 506307 1518921 47424089 142272267 426816801