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426397309 = 1328928349
BaseRepresentation
bin11001011010100…
…100111001111101
31002201100020010221
4121122210321331
51333124203214
6110151101341
713365213562
oct3132447175
91081306127
10426397309
111a9765678
12ba971851
136a454800
14408b6869
1527679e24
hex196a4e7d

426397309 has 12 divisors (see below), whose sum is σ = 466924500. Its totient is φ = 389161344.

The previous prime is 426397303. The next prime is 426397327. The reversal of 426397309 is 903793624.

It can be written as a sum of positive squares in 6 ways, for example, as 241709209 + 184688100 = 15547^2 + 13590^2 .

It is not a de Polignac number, because 426397309 - 25 = 426397277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426397303) 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, 867 + ... + 29215.

It is an arithmetic number, because the mean of its divisors is an integer number (38910375).

Almost surely, 2426397309 is an apocalyptic number.

It is an amenable number.

426397309 is a deficient number, since it is larger than the sum of its proper divisors (40527191).

426397309 is a wasteful number, since it uses less digits than its factorization.

426397309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28464 (or 28451 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The square root of 426397309 is about 20649.3900394176. The cubic root of 426397309 is about 752.6703677124.

The spelling of 426397309 in words is "four hundred twenty-six million, three hundred ninety-seven thousand, three hundred nine".

Divisors: 1 13 89 169 1157 15041 28349 368537 2523061 4790981 32799793 426397309