WordGPT

The number 49491

49491 is a composite number with 20 divisors. Its prime factorisation is 343^{4} × 13 × 47. Divisors (20): 1, 3, 9, 13, 27, 39, 47, 81, 117, 141, 351, 423, 611, 1053, 1269, 1833 … 49491.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 49491: a Harshad number: divisible by its digit sum 27.

  2. 2

    49491 is composite. Its prime factorisation is

    49491=34×13×4749491 = 3^{4} \times 13 \times 47
  3. 3

    The divisors add up to 81312; without 49491 itself that is 31821, so 49491 is deficient (31821 is less than 49491). Euler's totient φ(49491) = 29808 numbers up to 49491 share no factor with it.

  4. 4

    The digits of 49491 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49491 = 3^{4} \times 13 \times 47 \]

49491 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors81312
Euler totient φ(n)29808
Square2449359081
Cube121221230277771
Square root222.465728 (= 9√611)
Digit sum / digital root27 / 9
Collatz steps to 1145
Scientific notation4.9491 × 10410^{4}

49491 in other forms

FormValue
In wordsforty-nine thousand four hundred and ninety-one
Binary (base 2)1100000101010011
Octal (base 8)140523
Hexadecimal (base 16)C153
Base 32111220000
As time49491 seconds = 13 h 44 min 51 s

Is 49491 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).
3Yes (49491 ÷ 3 = 16497)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (49491 ÷ 9 = 5499)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49491 a prime number?

No. 49491 = 343^{4} × 13 × 47, so it is divisible by 3.

What are the factors of 49491?

1, 3, 9, 13, 27, 39, 47, 81, 117, 141, 351, 423, 611, 1053, 1269, 1833, 3807, 5499, 16497, 49491.

What is 49491 in binary?

1100000101010011 (hexadecimal C153, octal 140523).

What is the square root of 49491?

About 222.4657, exactly 9√611.

Is 49491 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 49491?

49491 is a Harshad number: divisible by its digit sum 27.

Find the next one

Nearby numbers

    49491: is it prime? Factors, square root, binary, Roman numeral | WordGPT