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42467057 is a prime number
BaseRepresentation
bin1010000111111…
…1111011110001
32221220112211222
42201333323301
541332421212
64114114425
71023651443
oct241777361
987815758
1042467057
1121a76146
121227ba15
138a4b749
1458d6493
153adcc72
hex287fef1

42467057 has 2 divisors, whose sum is σ = 42467058. Its totient is φ = 42467056.

The previous prime is 42467027. The next prime is 42467059. The reversal of 42467057 is 75076424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34621456 + 7845601 = 5884^2 + 2801^2 .

It is a cyclic number.

It is not a de Polignac number, because 42467057 - 210 = 42466033 is a prime.

Together with 42467059, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2574278 and since 42467057 and 2574278 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 (42467059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21233528 + 21233529.

It is an arithmetic number, because the mean of its divisors is an integer number (21233529).

Almost surely, 242467057 is an apocalyptic number.

It is an amenable number.

42467057 is a deficient number, since it is larger than the sum of its proper divisors (1).

42467057 is an equidigital number, since it uses as much as digits as its factorization.

42467057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 42467057 is about 6516.6753026371. The cubic root of 42467057 is about 348.8864116955.

The spelling of 42467057 in words is "forty-two million, four hundred sixty-seven thousand, fifty-seven".