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249288593 is a prime number
BaseRepresentation
bin11101101101111…
…01011110010001
3122101002011122212
432312331132101
51002304213333
640423041505
76114626621
oct1666753621
9571064585
10249288593
11118798234
126b5a0295
133c853958
1425172881
1516d43448
hexedbd791

249288593 has 2 divisors, whose sum is σ = 249288594. Its totient is φ = 249288592.

The previous prime is 249288551. The next prime is 249288619. The reversal of 249288593 is 395882942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221652544 + 27636049 = 14888^2 + 5257^2 .

It is a cyclic number.

It is not a de Polignac number, because 249288593 - 28 = 249288337 is a prime.

It is not a weakly prime, because it can be changed into another prime (249228593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124644296 + 124644297.

It is an arithmetic number, because the mean of its divisors is an integer number (124644297).

Almost surely, 2249288593 is an apocalyptic number.

It is an amenable number.

249288593 is a deficient number, since it is larger than the sum of its proper divisors (1).

249288593 is an equidigital number, since it uses as much as digits as its factorization.

249288593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1244160, while the sum is 50.

The square root of 249288593 is about 15788.8756091116. The cubic root of 249288593 is about 629.3624128171.

The spelling of 249288593 in words is "two hundred forty-nine million, two hundred eighty-eight thousand, five hundred ninety-three".