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49585729 is a prime number
BaseRepresentation
bin1011110100100…
…1111001000001
310110022012211111
42331021321001
5100143220404
64530443321
71141320544
oct275117101
9113265744
1049585729
1125a98546
1214733541
13a37198b
14682a85b
154547104
hex2f49e41

49585729 has 2 divisors, whose sum is σ = 49585730. Its totient is φ = 49585728.

The previous prime is 49585703. The next prime is 49585733. The reversal of 49585729 is 92758594.

49585729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48274704 + 1311025 = 6948^2 + 1145^2 .

It is a cyclic number.

It is not a de Polignac number, because 49585729 - 213 = 49577537 is a prime.

It is a super-2 number, since 2×495857292 = 4917489040922882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (49585759) 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, 24792864 + 24792865.

It is an arithmetic number, because the mean of its divisors is an integer number (24792865).

Almost surely, 249585729 is an apocalyptic number.

It is an amenable number.

49585729 is a deficient number, since it is larger than the sum of its proper divisors (1).

49585729 is an equidigital number, since it uses as much as digits as its factorization.

49585729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 49.

The square root of 49585729 is about 7041.7134988581. The cubic root of 49585729 is about 367.3828685592.

Subtracting from 49585729 its product of digits (907200), we obtain a square (48678529 = 69772).

The spelling of 49585729 in words is "forty-nine million, five hundred eighty-five thousand, seven hundred twenty-nine".