Search a number
-
+
42592993 is a prime number
BaseRepresentation
bin1010001001111…
…0101011100001
32222010221121021
42202132223201
541400433433
64120525441
71025014552
oct242365341
988127537
1042592993
1122051823
1212320881
138a93b71
14592a329
153b1522d
hex289eae1

42592993 has 2 divisors, whose sum is σ = 42592994. Its totient is φ = 42592992.

The previous prime is 42592969. The next prime is 42592999. The reversal of 42592993 is 39929524.

It is a happy number.

42592993 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 can be written as a sum of positive squares in only one way, i.e., 37173409 + 5419584 = 6097^2 + 2328^2 .

It is a cyclic number.

It is not a de Polignac number, because 42592993 - 221 = 40495841 is a prime.

It is not a weakly prime, because it can be changed into another prime (42592999) 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, 21296496 + 21296497.

It is an arithmetic number, because the mean of its divisors is an integer number (21296497).

Almost surely, 242592993 is an apocalyptic number.

It is an amenable number.

42592993 is a deficient number, since it is larger than the sum of its proper divisors (1).

42592993 is an equidigital number, since it uses as much as digits as its factorization.

42592993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 43.

The square root of 42592993 is about 6526.3307455262. The cubic root of 42592993 is about 349.2309454085.

The spelling of 42592993 in words is "forty-two million, five hundred ninety-two thousand, nine hundred ninety-three".