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426220857 = 32420111273
BaseRepresentation
bin11001011001111…
…001110100111001
31002201000021002200
4121121321310321
51333103031412
6110143220413
713363550256
oct3131716471
91081007080
10426220857
111a9655047
12ba8a7709
136a3c23ba
144086c42d
15276429dc
hex19679d39

426220857 has 12 divisors (see below), whose sum is σ = 615853524. Its totient is φ = 284054400.

The previous prime is 426220811. The next prime is 426220867. The reversal of 426220857 is 758022624.

426220857 is a `hidden beast` number, since 426 + 220 + 8 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59536656 + 366684201 = 7716^2 + 19149^2 .

It is not a de Polignac number, because 426220857 - 211 = 426218809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (426220807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32173 + ... + 43445.

It is an arithmetic number, because the mean of its divisors is an integer number (51321127).

Almost surely, 2426220857 is an apocalyptic number.

It is an amenable number.

426220857 is a deficient number, since it is larger than the sum of its proper divisors (189632667).

426220857 is a wasteful number, since it uses less digits than its factorization.

426220857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15480 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 426220857 is about 20645.1170255826. The cubic root of 426220857 is about 752.5665298808.

The spelling of 426220857 in words is "four hundred twenty-six million, two hundred twenty thousand, eight hundred fifty-seven".

Divisors: 1 3 9 4201 11273 12603 33819 37809 101457 47357873 142073619 426220857