Search a number
-
+
42649037 is a prime number
BaseRepresentation
bin1010001010110…
…0010111001101
32222020210110222
42202230113031
541404232122
64122041125
71025340134
oct242542715
988223428
1042649037
112208a942
12123491a5
138ab3522
14594291b
153b26b42
hex28ac5cd

42649037 has 2 divisors, whose sum is σ = 42649038. Its totient is φ = 42649036.

The previous prime is 42649007. The next prime is 42649093. The reversal of 42649037 is 73094624.

42649037 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., 38180041 + 4468996 = 6179^2 + 2114^2 .

It is a cyclic number.

It is not a de Polignac number, because 42649037 - 212 = 42644941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42648988 and 42649006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42649007) 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, 21324518 + 21324519.

It is an arithmetic number, because the mean of its divisors is an integer number (21324519).

Almost surely, 242649037 is an apocalyptic number.

It is an amenable number.

42649037 is a deficient number, since it is larger than the sum of its proper divisors (1).

42649037 is an equidigital number, since it uses as much as digits as its factorization.

42649037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 42649037 is about 6530.6230177526. The cubic root of 42649037 is about 349.3840513505.

The spelling of 42649037 in words is "forty-two million, six hundred forty-nine thousand, thirty-seven".