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42023767 is a prime number
BaseRepresentation
bin1010000001001…
…1101101010111
32221002000202211
42200103231113
541224230032
64100414251
71020124162
oct240235527
987060684
1042023767
11217a3095
12120a7387
138924a46
14581cad9
153a51747
hex2813b57

42023767 has 2 divisors, whose sum is σ = 42023768. Its totient is φ = 42023766.

The previous prime is 42023759. The next prime is 42023789. The reversal of 42023767 is 76732024.

It is a happy number.

42023767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 42023767 - 23 = 42023759 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42023797) 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, 21011883 + 21011884.

It is an arithmetic number, because the mean of its divisors is an integer number (21011884).

Almost surely, 242023767 is an apocalyptic number.

42023767 is a deficient number, since it is larger than the sum of its proper divisors (1).

42023767 is an equidigital number, since it uses as much as digits as its factorization.

42023767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 42023767 is about 6482.5741029316. The cubic root of 42023767 is about 347.6682193671.

The spelling of 42023767 in words is "forty-two million, twenty-three thousand, seven hundred sixty-seven".