Search a number
-
+
42007319 is a prime number
BaseRepresentation
bin1010000000111…
…1101100010111
32221001012012122
42200033230113
541223213234
64100210155
71020025214
oct240175427
987035178
1042007319
11217917a2
121209995b
13891a403
145816b0b
153a4b92e
hex280fb17

42007319 has 2 divisors, whose sum is σ = 42007320. Its totient is φ = 42007318.

The previous prime is 42007307. The next prime is 42007333. The reversal of 42007319 is 91370024.

42007319 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 a de Polignac number, because none of the positive numbers 2k-42007319 is a prime.

It is a super-2 number, since 2×420073192 = 3529229699135522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42007369) 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, 21003659 + 21003660.

It is an arithmetic number, because the mean of its divisors is an integer number (21003660).

Almost surely, 242007319 is an apocalyptic number.

42007319 is a deficient number, since it is larger than the sum of its proper divisors (1).

42007319 is an equidigital number, since it uses as much as digits as its factorization.

42007319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 42007319 is about 6481.3053469189. The cubic root of 42007319 is about 347.6228546167.

The spelling of 42007319 in words is "forty-two million, seven thousand, three hundred nineteen".