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42806873 is a prime number
BaseRepresentation
bin1010001101001…
…0111001011001
32222112210222202
42203102321121
541424304443
64125255545
71026565244
oct243227131
988483882
1042806873
112218848a
12124045b5
138b3a315
14598425b
153b587b8
hex28d2e59

42806873 has 2 divisors, whose sum is σ = 42806874. Its totient is φ = 42806872.

The previous prime is 42806849. The next prime is 42806879. The reversal of 42806873 is 37860824.

42806873 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., 25725184 + 17081689 = 5072^2 + 4133^2 .

It is a cyclic number.

It is not a de Polignac number, because 42806873 - 210 = 42805849 is a prime.

It is equal to p2593649 and since 42806873 and 2593649 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (42806879) 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, 21403436 + 21403437.

It is an arithmetic number, because the mean of its divisors is an integer number (21403437).

Almost surely, 242806873 is an apocalyptic number.

It is an amenable number.

42806873 is a deficient number, since it is larger than the sum of its proper divisors (1).

42806873 is an equidigital number, since it uses as much as digits as its factorization.

42806873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 42806873 is about 6542.6961567843. The cubic root of 42806873 is about 349.8145221340.

The spelling of 42806873 in words is "forty-two million, eight hundred six thousand, eight hundred seventy-three".