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540542329 is a prime number
BaseRepresentation
bin100000001110000…
…000010101111001
31101200010101200021
4200032000111321
52101334323304
6125345410441
716252351105
oct4016002571
91350111607
10540542329
112581384a8
12131039a21
1387cab742
1451b0a905
15326c5a54
hex20380579

540542329 has 2 divisors, whose sum is σ = 540542330. Its totient is φ = 540542328.

The previous prime is 540542269. The next prime is 540542333. The reversal of 540542329 is 923245045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 485188729 + 55353600 = 22027^2 + 7440^2 .

It is a cyclic number.

It is not a de Polignac number, because 540542329 - 219 = 540018041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540542294 and 540542303.

It is not a weakly prime, because it can be changed into another prime (540542029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270271164 + 270271165.

It is an arithmetic number, because the mean of its divisors is an integer number (270271165).

Almost surely, 2540542329 is an apocalyptic number.

It is an amenable number.

540542329 is a deficient number, since it is larger than the sum of its proper divisors (1).

540542329 is an equidigital number, since it uses as much as digits as its factorization.

540542329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 540542329 is about 23249.5662110070. The cubic root of 540542329 is about 814.5978062465.

The spelling of 540542329 in words is "five hundred forty million, five hundred forty-two thousand, three hundred twenty-nine".