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The number 52489

52489 is the 5359th prime number. Its only divisors are 1 and 52489.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 52489: the 5359th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    52489 is prime, so its only factors are 1 and 52489. It is the 5359th prime; the next prime is 52501 and the one before is 52457.

  3. 3

    The divisors add up to 52490; without 52489 itself that is 1, so 52489 is deficient (1 is less than 52489). Euler's totient φ(52489) = 52488 numbers up to 52489 share no factor with it.

  4. 4

    The digits of 52489 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 78 steps to reach 1.

52489 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors52490
Euler totient φ(n)52488
Square2755095121
Cube144612187806169
Square root229.104780
Digit sum / digital root28 / 1
Collatz steps to 178
Scientific notation5.2489 × 10410^{4}

52489 in other forms

FormValue
In wordsfifty-two thousand four hundred and eighty-nine
Binary (base 2)1100110100001001
Octal (base 8)146411
Hexadecimal (base 16)CD09
Base 32200000001
As time52489 seconds = 14 h 34 min 49 s

Is 52489 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 3)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 8)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 52489 a prime number?

Yes. 52489 is divisible only by 1 and itself.

What are the factors of 52489?

1, 52489.

What is 52489 in binary?

1100110100001001 (hexadecimal CD09, octal 146411).

What is the square root of 52489?

About 229.1048.

Is 52489 divisible by 3?

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

What is special about the number 52489?

52489 is the 5359th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 52489

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    52489: is it prime? Factors, square root, binary, Roman numeral | WordGPT