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427129457 is a prime number
BaseRepresentation
bin11001011101010…
…111101001110001
31002202201102110112
4121131113221301
51333321120312
6110214511105
713404353246
oct3135275161
91082642415
10427129457
111aa115757
12bb065495
136a64cb31
1440a275cd
1527771d22
hex19757a71

427129457 has 2 divisors, whose sum is σ = 427129458. Its totient is φ = 427129456.

The previous prime is 427129453. The next prime is 427129531. The reversal of 427129457 is 754921724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300814336 + 126315121 = 17344^2 + 11239^2 .

It is a cyclic number.

It is not a de Polignac number, because 427129457 - 22 = 427129453 is a prime.

It is a super-2 number, since 2×4271294572 = 364879146074229698, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (427129453) 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 as a sum of consecutive naturals, namely, 213564728 + 213564729.

It is an arithmetic number, because the mean of its divisors is an integer number (213564729).

Almost surely, 2427129457 is an apocalyptic number.

It is an amenable number.

427129457 is a deficient number, since it is larger than the sum of its proper divisors (1).

427129457 is an equidigital number, since it uses as much as digits as its factorization.

427129457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 41.

The square root of 427129457 is about 20667.1105140511. The cubic root of 427129457 is about 753.1009137387.

The spelling of 427129457 in words is "four hundred twenty-seven million, one hundred twenty-nine thousand, four hundred fifty-seven".