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540842441 is a prime number
BaseRepresentation
bin100000001111001…
…001100111001001
31101200200122100112
4200033021213021
52101423424231
6125400044105
716255041056
oct4017114711
91350618315
10540842441
11258322a27
12131163635
1388085219
1451b8802d
153273492b
hex203c99c9

540842441 has 2 divisors, whose sum is σ = 540842442. Its totient is φ = 540842440.

The previous prime is 540842417. The next prime is 540842443. The reversal of 540842441 is 144248045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 532455625 + 8386816 = 23075^2 + 2896^2 .

It is a cyclic number.

It is not a de Polignac number, because 540842441 - 214 = 540826057 is a prime.

Together with 540842443, 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 = 540842398 and 540842407.

It is not a weakly prime, because it can be changed into another prime (540842443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270421220 + 270421221.

It is an arithmetic number, because the mean of its divisors is an integer number (270421221).

Almost surely, 2540842441 is an apocalyptic number.

It is an amenable number.

540842441 is a deficient number, since it is larger than the sum of its proper divisors (1).

540842441 is an equidigital number, since it uses as much as digits as its factorization.

540842441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 540842441 is about 23256.0194573362. The cubic root of 540842441 is about 814.7485347118.

The spelling of 540842441 in words is "five hundred forty million, eight hundred forty-two thousand, four hundred forty-one".