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The number 52849

52849 is a composite number with 4 divisors. Its prime factorisation is 41 × 1289. Divisors (4): 1, 41, 1289, 52849.

Number

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How to work it out

  1. 1

    What is special about 52849: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1289, the product of two primes.

  2. 2

    52849 is composite. Its prime factorisation is

    52849=41×128952849 = 41 \times 1289
  3. 3

    The divisors add up to 54180; without 52849 itself that is 1331, so 52849 is deficient (1331 is less than 52849). Euler's totient φ(52849) = 51520 numbers up to 52849 share no factor with it.

  4. 4

    The digits of 52849 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52849 = 41 \times 1289 \]

52849 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors54180
Euler totient φ(n)51520
Square2793016801
Cube147608144916049
Square root229.889104
Digit sum / digital root28 / 1
Collatz steps to 1140
Scientific notation5.2849 × 10410^{4}

52849 in other forms

FormValue
In wordsfifty-two thousand eight hundred and forty-nine
Binary (base 2)1100111001110001
Octal (base 8)147161
Hexadecimal (base 16)CE71
Base 32200111101
As time52849 seconds = 14 h 40 min 49 s

Is 52849 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 1)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52849 a prime number?

No. 52849 = 41 × 1289, so it is divisible by 41.

What are the factors of 52849?

1, 41, 1289, 52849.

What is 52849 in binary?

1100111001110001 (hexadecimal CE71, octal 147161).

What is the square root of 52849?

About 229.8891.

Is 52849 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 52849?

52849 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1289, the product of two primes.

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