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59006729 is a prime number
BaseRepresentation
bin1110000100010…
…1111100001001
311010000212000102
43201011330021
5110101203404
65504415145
71314356165
oct341057411
9133025012
1059006729
11303426a1
12179174b5
13c2bcb32
147b9dca5
1552a871e
hex3845f09

59006729 has 2 divisors, whose sum is σ = 59006730. Its totient is φ = 59006728.

The previous prime is 59006719. The next prime is 59006747. The reversal of 59006729 is 92760095.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57032704 + 1974025 = 7552^2 + 1405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-59006729 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 = 59006692 and 59006701.

It is not a weakly prime, because it can be changed into another prime (59006719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29503364 + 29503365.

It is an arithmetic number, because the mean of its divisors is an integer number (29503365).

Almost surely, 259006729 is an apocalyptic number.

It is an amenable number.

59006729 is a deficient number, since it is larger than the sum of its proper divisors (1).

59006729 is an equidigital number, since it uses as much as digits as its factorization.

59006729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 59006729 is about 7681.5837559712. The cubic root of 59006729 is about 389.3144410094.

The spelling of 59006729 in words is "fifty-nine million, six thousand, seven hundred twenty-nine".