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The number 49481

49481 is the 5085th prime number. Its only divisors are 1 and 49481.

Number

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How to work it out

  1. 1

    What is special about 49481: the 5085th prime number.

  2. 2

    49481 is prime, so its only factors are 1 and 49481. It is the 5085th prime; the next prime is 49499 and the one before is 49477.

  3. 3

    The divisors add up to 49482; without 49481 itself that is 1, so 49481 is deficient (1 is less than 49481). Euler's totient φ(49481) = 49480 numbers up to 49481 share no factor with it.

  4. 4

    The digits of 49481 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 96 steps to reach 1.

49481 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors49482
Euler totient φ(n)49480
Square2448369361
Cube121147764351641
Square root222.443251
Digit sum / digital root26 / 8
Collatz steps to 196
Scientific notation4.9481 × 10410^{4}

49481 in other forms

FormValue
In wordsforty-nine thousand four hundred and eighty-one
Binary (base 2)1100000101001001
Octal (base 8)140511
Hexadecimal (base 16)C149
Base 32111212122
As time49481 seconds = 13 h 44 min 41 s

Is 49481 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 1)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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 49481 a prime number?

Yes. 49481 is divisible only by 1 and itself.

What are the factors of 49481?

1, 49481.

What is 49481 in binary?

1100000101001001 (hexadecimal C149, octal 140511).

What is the square root of 49481?

About 222.4433.

Is 49481 divisible by 3?

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

What is special about the number 49481?

49481 is the 5085th prime number.

All about 49481

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    49481: is it prime? Factors, square root, binary, Roman numeral | WordGPT