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1827420041 is a prime number
BaseRepresentation
bin110110011101100…
…0011011110001001
311201100121120000202
41230323003132021
512220304420131
6501155541545
763166546136
oct15473033611
94640546022
101827420041
118585927a7
1242bbba8b5
132317a0945
141349b358d
15aa672bcb
hex6cec3789

1827420041 has 2 divisors, whose sum is σ = 1827420042. Its totient is φ = 1827420040.

The previous prime is 1827420037. The next prime is 1827420043. The reversal of 1827420041 is 1400247281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1559934016 + 267486025 = 39496^2 + 16355^2 .

It is a cyclic number.

It is not a de Polignac number, because 1827420041 - 22 = 1827420037 is a prime.

Together with 1827420043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1827419986 and 1827420013.

It is not a weakly prime, because it can be changed into another prime (1827420043) 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, 913710020 + 913710021.

It is an arithmetic number, because the mean of its divisors is an integer number (913710021).

Almost surely, 21827420041 is an apocalyptic number.

It is an amenable number.

1827420041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1827420041 is an equidigital number, since it uses as much as digits as its factorization.

1827420041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 1827420041 is about 42748.3337803943. Note that the first 3 decimals coincide. The cubic root of 1827420041 is about 1222.5861205662.

The spelling of 1827420041 in words is "one billion, eight hundred twenty-seven million, four hundred twenty thousand, forty-one".