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729775649 is a prime number
BaseRepresentation
bin101011011111110…
…111111000100001
31212212012102222202
4223133313320201
52443310310044
6200225342545
724040663541
oct5337677041
91785172882
10729775649
11344a37279
12184497a55
13b8266215
146ccc9321
1544104c4e
hex2b7f7e21

729775649 has 2 divisors, whose sum is σ = 729775650. Its totient is φ = 729775648.

The previous prime is 729775637. The next prime is 729775667. The reversal of 729775649 is 946577927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 649995025 + 79780624 = 25495^2 + 8932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-729775649 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 729775594 and 729775603.

It is not a weakly prime, because it can be changed into another prime (729775699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364887824 + 364887825.

It is an arithmetic number, because the mean of its divisors is an integer number (364887825).

Almost surely, 2729775649 is an apocalyptic number.

It is an amenable number.

729775649 is a deficient number, since it is larger than the sum of its proper divisors (1).

729775649 is an equidigital number, since it uses as much as digits as its factorization.

729775649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6667920, while the sum is 56.

The square root of 729775649 is about 27014.3600516466. The cubic root of 729775649 is about 900.3190839787.

The spelling of 729775649 in words is "seven hundred twenty-nine million, seven hundred seventy-five thousand, six hundred forty-nine".