Search a number
-
+
42167117 is a prime number
BaseRepresentation
bin1010000011011…
…0101101001101
32221100022102002
42200312231031
541243321432
64103442045
71021262126
oct240665515
987308362
1042167117
1121890863
1212156325
138975075
14585904d
153a7de62
hex2836b4d

42167117 has 2 divisors, whose sum is σ = 42167118. Its totient is φ = 42167116.

The previous prime is 42167107. The next prime is 42167159. The reversal of 42167117 is 71176124.

42167117 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 can be written as a sum of positive squares in only one way, i.e., 37625956 + 4541161 = 6134^2 + 2131^2 .

It is a cyclic number.

It is not a de Polignac number, because 42167117 - 24 = 42167101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42167117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42167107) 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, 21083558 + 21083559.

It is an arithmetic number, because the mean of its divisors is an integer number (21083559).

Almost surely, 242167117 is an apocalyptic number.

It is an amenable number.

42167117 is a deficient number, since it is larger than the sum of its proper divisors (1).

42167117 is an equidigital number, since it uses as much as digits as its factorization.

42167117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 29.

The square root of 42167117 is about 6493.6212547391. The cubic root of 42167117 is about 348.0630885973.

The spelling of 42167117 in words is "forty-two million, one hundred sixty-seven thousand, one hundred seventeen".