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427261381 is a prime number
BaseRepresentation
bin11001011101110…
…111110111000101
31002202222010102121
4121131313313011
51333334331011
6110221405541
713405443001
oct3135676705
91082863377
10427261381
111aa1a5888
12bb1098b1
136a697bb1
1440a5d701
152779ae71
hex19777dc5

427261381 has 2 divisors, whose sum is σ = 427261382. Its totient is φ = 427261380.

The previous prime is 427261327. The next prime is 427261399. The reversal of 427261381 is 183162724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 376709281 + 50552100 = 19409^2 + 7110^2 .

It is a cyclic number.

It is not a de Polignac number, because 427261381 - 27 = 427261253 is a prime.

It is a super-2 number, since 2×4272613812 = 365104575388054322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427261301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213630690 + 213630691.

It is an arithmetic number, because the mean of its divisors is an integer number (213630691).

Almost surely, 2427261381 is an apocalyptic number.

It is an amenable number.

427261381 is a deficient number, since it is larger than the sum of its proper divisors (1).

427261381 is an equidigital number, since it uses as much as digits as its factorization.

427261381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

The square root of 427261381 is about 20670.3019087772. The cubic root of 427261381 is about 753.1784404748.

The spelling of 427261381 in words is "four hundred twenty-seven million, two hundred sixty-one thousand, three hundred eighty-one".