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42097813 is a prime number
BaseRepresentation
bin1010000010010…
…1110010010101
32221012210100021
42200211302111
541234112223
64102145141
71020553102
oct240456225
987183307
1042097813
112184378a
12121221b1
13894c664
14583baa9
153a6865d
hex2825c95

42097813 has 2 divisors, whose sum is σ = 42097814. Its totient is φ = 42097812.

The previous prime is 42097807. The next prime is 42097819. The reversal of 42097813 is 31879024.

It is a balanced prime because it is at equal distance from previous prime (42097807) and next prime (42097819).

It can be written as a sum of positive squares in only one way, i.e., 36747844 + 5349969 = 6062^2 + 2313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42097813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42097819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21048906 + 21048907.

It is an arithmetic number, because the mean of its divisors is an integer number (21048907).

Almost surely, 242097813 is an apocalyptic number.

It is an amenable number.

42097813 is a deficient number, since it is larger than the sum of its proper divisors (1).

42097813 is an equidigital number, since it uses as much as digits as its factorization.

42097813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 42097813 is about 6488.2827466133. The cubic root of 42097813 is about 347.8722970243.

The spelling of 42097813 in words is "forty-two million, ninety-seven thousand, eight hundred thirteen".