Search a number
-
+
288898693 is a prime number
BaseRepresentation
bin10001001110000…
…011111010000101
3202010121120111121
4101032003322011
51042424224233
644400033541
710105412146
oct2116037205
9663546447
10288898693
11139091956
12809028b1
1347b11b95
142a523acd
151a56992d
hex11383e85

288898693 has 2 divisors, whose sum is σ = 288898694. Its totient is φ = 288898692.

The previous prime is 288898691. The next prime is 288898721. The reversal of 288898693 is 396898882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236452129 + 52446564 = 15377^2 + 7242^2 .

It is a cyclic number.

It is not a de Polignac number, because 288898693 - 21 = 288898691 is a prime.

It is a super-3 number, since 3×2888986933 (a number of 26 digits) contains 333 as substring.

Together with 288898691, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288898691) 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, 144449346 + 144449347.

It is an arithmetic number, because the mean of its divisors is an integer number (144449347).

Almost surely, 2288898693 is an apocalyptic number.

It is an amenable number.

288898693 is a deficient number, since it is larger than the sum of its proper divisors (1).

288898693 is an equidigital number, since it uses as much as digits as its factorization.

288898693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11943936, while the sum is 61.

The square root of 288898693 is about 16997.0201211859. The cubic root of 288898693 is about 661.0716390549.

The spelling of 288898693 in words is "two hundred eighty-eight million, eight hundred ninety-eight thousand, six hundred ninety-three".