WordGPT

The number 49429

49429 is the 5079th prime number. Its only divisors are 1 and 49429.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 49429: the 5079th prime number.

  2. 2

    49429 is prime, so its only factors are 1 and 49429. It is the 5079th prime; the next prime is 49433 and the one before is 49417.

  3. 3

    The divisors add up to 49430; without 49429 itself that is 1, so 49429 is deficient (1 is less than 49429). Euler's totient φ(49429) = 49428 numbers up to 49429 share no factor with it.

  4. 4

    The digits of 49429 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 39 steps to reach 1.

49429 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors49430
Euler totient φ(n)49428
Square2443226041
Cube120766219980589
Square root222.326337
Digit sum / digital root28 / 1
Collatz steps to 139
Scientific notation4.9429 × 10410^{4}

49429 in other forms

FormValue
In wordsforty-nine thousand four hundred and twenty-nine
Binary (base 2)1100000100010101
Octal (base 8)140425
Hexadecimal (base 16)C115
Base 32111210201
As time49429 seconds = 13 h 43 min 49 s

Is 49429 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 2)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 5)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 6)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 49429 a prime number?

Yes. 49429 is divisible only by 1 and itself.

What are the factors of 49429?

1, 49429.

What is 49429 in binary?

1100000100010101 (hexadecimal C115, octal 140425).

What is the square root of 49429?

About 222.3263.

Is 49429 divisible by 3?

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

What is special about the number 49429?

49429 is the 5079th prime number.

All about 49429

Find the next one

Nearby numbers

    49429: is it prime? Factors, square root, binary, Roman numeral | WordGPT