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The number 50849

50849 is the 5208th prime number. Its only divisors are 1 and 50849.

Number

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How to work it out

  1. 1

    What is special about 50849: the 5208th prime number.

  2. 2

    50849 is prime, so its only factors are 1 and 50849. It is the 5208th prime; the next prime is 50857 and the one before is 50839.

  3. 3

    The divisors add up to 50850; without 50849 itself that is 1, so 50849 is deficient (1 is less than 50849). Euler's totient φ(50849) = 50848 numbers up to 50849 share no factor with it.

  4. 4

    The digits of 50849 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

50849 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors50850
Euler totient φ(n)50848
Square2585620801
Cube131476232110049
Square root225.497228
Digit sum / digital root26 / 8
Collatz steps to 157
Scientific notation5.0849 × 10410^{4}

50849 in other forms

FormValue
In wordsfifty thousand eight hundred and forty-nine
Binary (base 2)1100011010100001
Octal (base 8)143241
Hexadecimal (base 16)C6A1
Base 32120202022
As time50849 seconds = 14 h 7 min 29 s

Is 50849 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50849 a prime number?

Yes. 50849 is divisible only by 1 and itself.

What are the factors of 50849?

1, 50849.

What is 50849 in binary?

1100011010100001 (hexadecimal C6A1, octal 143241).

What is the square root of 50849?

About 225.4972.

Is 50849 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 50849?

50849 is the 5208th prime number.

All about 50849

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    50849: is it prime? Factors, square root, binary, Roman numeral | WordGPT