Search a number
-
+
2604289 is a prime number
BaseRepresentation
bin1001111011110100000001
311220022102011
421323310001
51131314124
6131452521
731064452
oct11736401
94808364
102604289
111519706
12a57141
137024cc
144bb129
15366994
hex27bd01

2604289 has 2 divisors, whose sum is σ = 2604290. Its totient is φ = 2604288.

The previous prime is 2604269. The next prime is 2604293. The reversal of 2604289 is 9824062.

2604289 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., 2226064 + 378225 = 1492^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2604289 - 25 = 2604257 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 23 + 68 + 0 + 49 + 217 + 8 + 96 .

It is a self number, because there is not a number n which added to its sum of digits gives 2604289.

It is not a weakly prime, because it can be changed into another prime (2604269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302144 + 1302145.

It is an arithmetic number, because the mean of its divisors is an integer number (1302145).

22604289 is an apocalyptic number.

It is an amenable number.

2604289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2604289 is an equidigital number, since it uses as much as digits as its factorization.

2604289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2604289 is about 1613.7809640716. The cubic root of 2604289 is about 137.5824563276.

The spelling of 2604289 in words is "two million, six hundred four thousand, two hundred eighty-nine".