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48593 is a prime number
BaseRepresentation
bin1011110111010001
32110122202
423313101
53023333
61012545
7261446
oct136721
973582
1048593
1133566
1224155
131916c
14139cd
15e5e8
hexbdd1

48593 has 2 divisors, whose sum is σ = 48594. Its totient is φ = 48592.

The previous prime is 48589. The next prime is 48611. The reversal of 48593 is 39584.

Subtracting from 48593 its reverse (39584), we obtain a palindrome (9009).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 5329 = 208^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 48593 - 22 = 48589 is a prime.

It is a super-2 number, since 2×485932 = 4722559298, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 11 and base 14.

It is not a weakly prime, because it can be changed into another prime (48523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24296 + 24297.

It is an arithmetic number, because the mean of its divisors is an integer number (24297).

248593 is an apocalyptic number.

It is an amenable number.

48593 is a deficient number, since it is larger than the sum of its proper divisors (1).

48593 is an equidigital number, since it uses as much as digits as its factorization.

48593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 48593 is about 220.4381999564. The cubic root of 48593 is about 36.4914598147.

The spelling of 48593 in words is "forty-eight thousand, five hundred ninety-three".