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505642729 is a prime number
BaseRepresentation
bin11110001000110…
…111111011101001
31022020110022102111
4132020313323221
52013421031404
6122101402321
715346615024
oct3610677351
91266408374
10505642729
1123a470959
121214093a1
13809ac5a7
144b2241bb
152e5d0104
hex1e237ee9

505642729 has 2 divisors, whose sum is σ = 505642730. Its totient is φ = 505642728.

The previous prime is 505642673. The next prime is 505642733. The reversal of 505642729 is 927246505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453051225 + 52591504 = 21285^2 + 7252^2 .

It is a cyclic number.

It is not a de Polignac number, because 505642729 - 213 = 505634537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505642691 and 505642700.

It is not a weakly prime, because it can be changed into another prime (505642129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252821364 + 252821365.

It is an arithmetic number, because the mean of its divisors is an integer number (252821365).

Almost surely, 2505642729 is an apocalyptic number.

It is an amenable number.

505642729 is a deficient number, since it is larger than the sum of its proper divisors (1).

505642729 is an equidigital number, since it uses as much as digits as its factorization.

505642729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 505642729 is about 22486.5010395126. The cubic root of 505642729 is about 796.6751219806.

The spelling of 505642729 in words is "five hundred five million, six hundred forty-two thousand, seven hundred twenty-nine".