Search a number
-
+
42538429 is a prime number
BaseRepresentation
bin1010001001000…
…1010110111101
32222001011202101
42202101112331
541342212204
64115425101
71024366513
oct242212675
988034671
1042538429
112201482a
12122b5191
138a7508b
1459144b3
153b03ea4
hex28915bd

42538429 has 2 divisors, whose sum is σ = 42538430. Its totient is φ = 42538428.

The previous prime is 42538427. The next prime is 42538453. The reversal of 42538429 is 92483524.

It is a happy number.

42538429 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., 41306329 + 1232100 = 6427^2 + 1110^2 .

It is a cyclic number.

It is not a de Polignac number, because 42538429 - 21 = 42538427 is a prime.

Together with 42538427, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42538421) 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, 21269214 + 21269215.

It is an arithmetic number, because the mean of its divisors is an integer number (21269215).

Almost surely, 242538429 is an apocalyptic number.

It is an amenable number.

42538429 is a deficient number, since it is larger than the sum of its proper divisors (1).

42538429 is an equidigital number, since it uses as much as digits as its factorization.

42538429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 37.

The square root of 42538429 is about 6522.1491089977. The cubic root of 42538429 is about 349.0817535753.

The spelling of 42538429 in words is "forty-two million, five hundred thirty-eight thousand, four hundred twenty-nine".