Search a number
-
+
42814631 is a prime number
BaseRepresentation
bin1010001101010…
…0110010100111
32222120012122002
42203110302213
541430032011
64125355515
71026626666
oct243246247
988505562
1042814631
11221932a2
1212408b9b
138b40a02
145986ddd
153b5ac3b
hex28d4ca7

42814631 has 2 divisors, whose sum is σ = 42814632. Its totient is φ = 42814630.

The previous prime is 42814591. The next prime is 42814649. The reversal of 42814631 is 13641824.

42814631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42814631 - 210 = 42813607 is a prime.

It is a super-2 number, since 2×428146312 = 3666185255332322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42814594 and 42814603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42814531) 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, 21407315 + 21407316.

It is an arithmetic number, because the mean of its divisors is an integer number (21407316).

Almost surely, 242814631 is an apocalyptic number.

42814631 is a deficient number, since it is larger than the sum of its proper divisors (1).

42814631 is an equidigital number, since it uses as much as digits as its factorization.

42814631 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

The square root of 42814631 is about 6543.2890047743. The cubic root of 42814631 is about 349.8356534535.

The spelling of 42814631 in words is "forty-two million, eight hundred fourteen thousand, six hundred thirty-one".