Search a number
-
+
42288769 is a prime number
BaseRepresentation
bin1010000101010…
…0011010000001
32221120111021201
42201110122001
541311220034
64110221201
71022306605
oct241243201
987514251
1042288769
11219641a6
12121b4801
1389b8553
14588b505
153aa5014
hex2854681

42288769 has 2 divisors, whose sum is σ = 42288770. Its totient is φ = 42288768.

The previous prime is 42288761. The next prime is 42288773. The reversal of 42288769 is 96788224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41770369 + 518400 = 6463^2 + 720^2 .

It is a cyclic number.

It is not a de Polignac number, because 42288769 - 23 = 42288761 is a prime.

It is a super-2 number, since 2×422887692 = 3576679967070722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42288761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21144384 + 21144385.

It is an arithmetic number, because the mean of its divisors is an integer number (21144385).

Almost surely, 242288769 is an apocalyptic number.

It is an amenable number.

42288769 is a deficient number, since it is larger than the sum of its proper divisors (1).

42288769 is an equidigital number, since it uses as much as digits as its factorization.

42288769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 387072, while the sum is 46.

The square root of 42288769 is about 6502.9815469521. The cubic root of 42288769 is about 348.3974875287.

The spelling of 42288769 in words is "forty-two million, two hundred eighty-eight thousand, seven hundred sixty-nine".