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584268401 is a prime number
BaseRepresentation
bin100010110100110…
…011101001110001
31111201101220120102
4202310303221301
52144033042101
6133550522145
720323125263
oct4264635161
91451356512
10584268401
1127a893552
12143806355
139407b262
145784db33
153646186b
hex22d33a71

584268401 has 2 divisors, whose sum is σ = 584268402. Its totient is φ = 584268400.

The previous prime is 584268397. The next prime is 584268403. The reversal of 584268401 is 104862485.

It is a happy number.

584268401 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., 370524001 + 213744400 = 19249^2 + 14620^2 .

It is a cyclic number.

It is not a de Polignac number, because 584268401 - 22 = 584268397 is a prime.

Together with 584268403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (584268403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292134200 + 292134201.

It is an arithmetic number, because the mean of its divisors is an integer number (292134201).

Almost surely, 2584268401 is an apocalyptic number.

It is an amenable number.

584268401 is a deficient number, since it is larger than the sum of its proper divisors (1).

584268401 is an equidigital number, since it uses as much as digits as its factorization.

584268401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 584268401 is about 24171.6445654821. The cubic root of 584268401 is about 835.9958720407.

The spelling of 584268401 in words is "five hundred eighty-four million, two hundred sixty-eight thousand, four hundred one".