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42817301 is a prime number
BaseRepresentation
bin1010001101010…
…1011100010101
32222120100021222
42203111130111
541430123201
64125420125
71026640532
oct243253425
988510258
1042817301
11221952aa
121240a645
138b41ca7
145987d89
153b5b91b
hex28d5715

42817301 has 2 divisors, whose sum is σ = 42817302. Its totient is φ = 42817300.

The previous prime is 42817267. The next prime is 42817309. The reversal of 42817301 is 10371824.

42817301 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., 22800625 + 20016676 = 4775^2 + 4474^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42817301 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42817309) 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, 21408650 + 21408651.

It is an arithmetic number, because the mean of its divisors is an integer number (21408651).

Almost surely, 242817301 is an apocalyptic number.

It is an amenable number.

42817301 is a deficient number, since it is larger than the sum of its proper divisors (1).

42817301 is an equidigital number, since it uses as much as digits as its factorization.

42817301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 42817301 is about 6543.4930274281. The cubic root of 42817301 is about 349.8429254363.

The spelling of 42817301 in words is "forty-two million, eight hundred seventeen thousand, three hundred one".