Search a number
-
+
287252261 is a prime number
BaseRepresentation
bin10001000111110…
…001111100100101
3202000111221000122
4101013301330211
51042014033021
644300451325
710055414102
oct2107617445
9660457018
10287252261
1113816796a
1280249b45
134768666a
142a215aa9
151a341bab
hex111f1f25

287252261 has 2 divisors, whose sum is σ = 287252262. Its totient is φ = 287252260.

The previous prime is 287252239. The next prime is 287252263. The reversal of 287252261 is 162252782.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210076036 + 77176225 = 14494^2 + 8785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-287252261 is a prime.

It is a super-2 number, since 2×2872522612 = 165027722899224242, which contains 22 as substring.

Together with 287252263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (287252263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143626130 + 143626131.

It is an arithmetic number, because the mean of its divisors is an integer number (143626131).

Almost surely, 2287252261 is an apocalyptic number.

It is an amenable number.

287252261 is a deficient number, since it is larger than the sum of its proper divisors (1).

287252261 is an equidigital number, since it uses as much as digits as its factorization.

287252261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The square root of 287252261 is about 16948.5179588069. The cubic root of 287252261 is about 659.8134313490.

The spelling of 287252261 in words is "two hundred eighty-seven million, two hundred fifty-two thousand, two hundred sixty-one".