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42633077 is a prime number
BaseRepresentation
bin1010001010100…
…0011101110101
32222012222120212
42202220131311
541403224302
64121435205
71025242454
oct242503565
988188525
1042633077
1122079953
121233bb05
138aa9196
14593ab9b
153b22052
hex28a8775

42633077 has 2 divisors, whose sum is σ = 42633078. Its totient is φ = 42633076.

The previous prime is 42633067. The next prime is 42633079. The reversal of 42633077 is 77033624.

42633077 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., 42172036 + 461041 = 6494^2 + 679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42633077 is a prime.

Together with 42633079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42633079) 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, 21316538 + 21316539.

It is an arithmetic number, because the mean of its divisors is an integer number (21316539).

Almost surely, 242633077 is an apocalyptic number.

It is an amenable number.

42633077 is a deficient number, since it is larger than the sum of its proper divisors (1).

42633077 is an equidigital number, since it uses as much as digits as its factorization.

42633077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 42633077 is about 6529.4009679296. The cubic root of 42633077 is about 349.3404640813.

The spelling of 42633077 in words is "forty-two million, six hundred thirty-three thousand, seventy-seven".