Search a number
-
+
2988257 is a prime number
BaseRepresentation
bin1011011001100011100001
312121211010012
423121203201
51231111012
6144014305
734254056
oct13314341
95554105
102988257
111761138
121001395
138081cc
1457b02d
153e0622
hex2d98e1

2988257 has 2 divisors, whose sum is σ = 2988258. Its totient is φ = 2988256.

The previous prime is 2988253. The next prime is 2988259. The reversal of 2988257 is 7528892.

It is a happy number.

2988257 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., 2531281 + 456976 = 1591^2 + 676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2988257 - 22 = 2988253 is a prime.

Together with 2988259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2988253) 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, 1494128 + 1494129.

It is an arithmetic number, because the mean of its divisors is an integer number (1494129).

22988257 is an apocalyptic number.

It is an amenable number.

2988257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2988257 is an equidigital number, since it uses as much as digits as its factorization.

2988257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 41.

The square root of 2988257 is about 1728.6575716434. The cubic root of 2988257 is about 144.0365294414.

It can be divided in two parts, 29 and 88257, that multiplied together give a triangular number (2559453 = T2262).

The spelling of 2988257 in words is "two million, nine hundred eighty-eight thousand, two hundred fifty-seven".