Search a number
-
+
258837361 = 192717001
BaseRepresentation
bin11110110110110…
…00101101110001
3200001001022002221
433123120231301
51012230243421
641403441041
76262036606
oct1733305561
9601038087
10258837361
1112311a382
1272826181
1341818003
142653a6ad
1517acc841
hexf6d8b71

258837361 has 6 divisors (see below), whose sum is σ = 273177762. Its totient is φ = 245214000.

The previous prime is 258837353. The next prime is 258837367. The reversal of 258837361 is 163738852.

It can be written as a sum of positive squares in only one way, i.e., 245110336 + 13727025 = 15656^2 + 3705^2 .

It is not a de Polignac number, because 258837361 - 23 = 258837353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258837367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 358140 + ... + 358861.

It is an arithmetic number, because the mean of its divisors is an integer number (45529627).

Almost surely, 2258837361 is an apocalyptic number.

It is an amenable number.

258837361 is a deficient number, since it is larger than the sum of its proper divisors (14340401).

258837361 is an equidigital number, since it uses as much as digits as its factorization.

258837361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717039 (or 717020 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 258837361 is about 16088.4231980639. The cubic root of 258837361 is about 637.2976559412.

The spelling of 258837361 in words is "two hundred fifty-eight million, eight hundred thirty-seven thousand, three hundred sixty-one".

Divisors: 1 19 361 717001 13623019 258837361