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427906181 is a prime number
BaseRepresentation
bin11001100000010…
…101010010000101
31002211011212221002
4121200111102011
51334020444211
6110243303045
713414066613
oct3140252205
91084155832
10427906181
111aa5a627a
12bb37aa85
136a862531
1440b8a6b3
152787703b
hex19815485

427906181 has 2 divisors, whose sum is σ = 427906182. Its totient is φ = 427906180.

The previous prime is 427906121. The next prime is 427906183. The reversal of 427906181 is 181609724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406828900 + 21077281 = 20170^2 + 4591^2 .

It is a cyclic number.

It is not a de Polignac number, because 427906181 - 222 = 423711877 is a prime.

It is a super-2 number, since 2×4279061812 = 366207399476009522, which contains 22 as substring.

Together with 427906183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427906183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213953090 + 213953091.

It is an arithmetic number, because the mean of its divisors is an integer number (213953091).

Almost surely, 2427906181 is an apocalyptic number.

It is an amenable number.

427906181 is a deficient number, since it is larger than the sum of its proper divisors (1).

427906181 is an equidigital number, since it uses as much as digits as its factorization.

427906181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 427906181 is about 20685.8932850385. The cubic root of 427906181 is about 753.5571355619.

The spelling of 427906181 in words is "four hundred twenty-seven million, nine hundred six thousand, one hundred eighty-one".