Search a number
-
+
42267781 is a prime number
BaseRepresentation
bin1010000100111…
…1010010000101
32221112102111101
42201033102011
541310032111
64105540101
71022161453
oct241172205
987472441
1042267781
112194a456
12121a4631
1389abb2a
1458839d3
153a9dbc1
hex284f485

42267781 has 2 divisors, whose sum is σ = 42267782. Its totient is φ = 42267780.

The previous prime is 42267773. The next prime is 42267809. The reversal of 42267781 is 18776224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38130625 + 4137156 = 6175^2 + 2034^2 .

It is a cyclic number.

It is not a de Polignac number, because 42267781 - 23 = 42267773 is a prime.

It is a super-2 number, since 2×422677812 = 3573130621327922, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42267781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42267881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21133890 + 21133891.

It is an arithmetic number, because the mean of its divisors is an integer number (21133891).

Almost surely, 242267781 is an apocalyptic number.

42267781 is the 2908-th centered decagonal number.

It is an amenable number.

42267781 is a deficient number, since it is larger than the sum of its proper divisors (1).

42267781 is an equidigital number, since it uses as much as digits as its factorization.

42267781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37632, while the sum is 37.

The square root of 42267781 is about 6501.3676253539. The cubic root of 42267781 is about 348.3398412028.

The spelling of 42267781 in words is "forty-two million, two hundred sixty-seven thousand, seven hundred eighty-one".