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427823761 is a prime number
BaseRepresentation
bin11001100000000…
…001001010010001
31002211000200212111
4121200001022101
51334010330021
6110241425321
713413304411
oct3140011221
91084020774
10427823761
111aa54a362
12bb33b241
136a833b71
1440b68641
152785c8e1
hex19801291

427823761 has 2 divisors, whose sum is σ = 427823762. Its totient is φ = 427823760.

The previous prime is 427823701. The next prime is 427823821. The reversal of 427823761 is 167328724.

It is a balanced prime because it is at equal distance from previous prime (427823701) and next prime (427823821).

It can be written as a sum of positive squares in only one way, i.e., 405780736 + 22043025 = 20144^2 + 4695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-427823761 is a prime.

It is not a weakly prime, because it can be changed into another prime (427823701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213911880 + 213911881.

It is an arithmetic number, because the mean of its divisors is an integer number (213911881).

Almost surely, 2427823761 is an apocalyptic number.

It is an amenable number.

427823761 is a deficient number, since it is larger than the sum of its proper divisors (1).

427823761 is an equidigital number, since it uses as much as digits as its factorization.

427823761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896, while the sum is 40.

The square root of 427823761 is about 20683.9010102060. The cubic root of 427823761 is about 753.5087509939.

The spelling of 427823761 in words is "four hundred twenty-seven million, eight hundred twenty-three thousand, seven hundred sixty-one".