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82394401 is a prime number
BaseRepresentation
bin1001110100100…
…11110100100001
312202001001212111
410322103310201
5132043110101
612101555321
72020224625
oct472236441
9182031774
1082394401
1142567151
1223715b41
13140bb1ab
14ad2b185
157378251
hex4e93d21

82394401 has 2 divisors, whose sum is σ = 82394402. Its totient is φ = 82394400.

The previous prime is 82394399. The next prime is 82394413. The reversal of 82394401 is 10449328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48986001 + 33408400 = 6999^2 + 5780^2 .

It is a cyclic number.

It is not a de Polignac number, because 82394401 - 21 = 82394399 is a prime.

It is a super-2 number, since 2×823944012 = 13577674632297602, which contains 22 as substring.

Together with 82394399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82394491) 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, 41197200 + 41197201.

It is an arithmetic number, because the mean of its divisors is an integer number (41197201).

Almost surely, 282394401 is an apocalyptic number.

It is an amenable number.

82394401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82394401 is an equidigital number, since it uses as much as digits as its factorization.

82394401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 82394401 is about 9077.1361673162. The cubic root of 82394401 is about 435.1435664760.

The spelling of 82394401 in words is "eighty-two million, three hundred ninety-four thousand, four hundred one".