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427432441 is a prime number
BaseRepresentation
bin11001011110100…
…001100111111001
31002210021211002011
4121132201213321
51333410314231
6110225205521
713410054502
oct3136414771
91083254064
10427432441
111aa302357
12bb1908a1
136a727a07
1440aa5ba9
15277d19b1
hex197a19f9

427432441 has 2 divisors, whose sum is σ = 427432442. Its totient is φ = 427432440.

The previous prime is 427432361. The next prime is 427432507. The reversal of 427432441 is 144234724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367834041 + 59598400 = 19179^2 + 7720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-427432441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (427432541) 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, 213716220 + 213716221.

It is an arithmetic number, because the mean of its divisors is an integer number (213716221).

Almost surely, 2427432441 is an apocalyptic number.

It is an amenable number.

427432441 is a deficient number, since it is larger than the sum of its proper divisors (1).

427432441 is an equidigital number, since it uses as much as digits as its factorization.

427432441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 31.

The square root of 427432441 is about 20674.4393152511. The cubic root of 427432441 is about 753.2789421969.

The spelling of 427432441 in words is "four hundred twenty-seven million, four hundred thirty-two thousand, four hundred forty-one".