[go: up one dir, main page]

Search a number
-
+
2589407993 is a prime number
BaseRepresentation
bin1001101001010111…
…0011101011111001
320200110102112222202
42122111303223321
520300342023433
61104535555545
7121111414304
oct23225635371
96613375882
102589407993
111109720607
1260322bbb5
13323604aa3
141a7c85b3b
151024dbee8
hex9a573af9

2589407993 has 2 divisors, whose sum is σ = 2589407994. Its totient is φ = 2589407992.

The previous prime is 2589407923. The next prime is 2589408001. The reversal of 2589407993 is 3997049852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1466353849 + 1123054144 = 38293^2 + 33512^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589407993 - 212 = 2589403897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2589407923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294703996 + 1294703997.

It is an arithmetic number, because the mean of its divisors is an integer number (1294703997).

Almost surely, 22589407993 is an apocalyptic number.

It is an amenable number.

2589407993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589407993 is an equidigital number, since it uses as much as digits as its factorization.

2589407993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 56.

The square root of 2589407993 is about 50886.2259653828. The cubic root of 2589407993 is about 1373.1990514162.

The spelling of 2589407993 in words is "two billion, five hundred eighty-nine million, four hundred seven thousand, nine hundred ninety-three".