249514300 (number)

249,514,300 (two hundred forty-nine million five hundred fourteen thousand three hundred) is an even nine-digits composite number following 249514299 and preceding 249514301. In scientific notation, it is written as 2.495143 × 108. The sum of its digits is 28. It has a total of 6 prime factors and 36 positive divisors. There are 85,547,520 positive integers (up to 249514300) that are relatively prime to 249514300.

Basic properties

• Is Prime? No
• Number parity Even
• Number length 9
• Sum of Digits 28
• Digital Root 1

Name

Short name 249 million 514 thousand 300 two hundred forty-nine million five hundred fourteen thousand three hundred

Notation

Scientific notation 2.495143 × 108 249.5143 × 106

Prime Factorization of 249514300

Prime Factorization 22 × 52 × 7 × 356449

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 24951430 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 249,514,300 is 22 × 52 × 7 × 356449. Since it has a total of 6 prime factors, 249,514,300 is a composite number.

Divisors of 249514300

36 divisors

 Even divisors 24 12 6 6
Total Divisors Sum of Divisors Aliquot Sum τ(n) 36 Total number of the positive divisors of n σ(n) 6.18797e+08 Sum of all the positive divisors of n s(n) 3.69283e+08 Sum of the proper positive divisors of n A(n) 1.71888e+07 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 15796 Returns the nth root of the product of n divisors H(n) 14.5161 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 249,514,300 can be divided by 36 positive divisors (out of which 24 are even, and 12 are odd). The sum of these divisors (counting 249,514,300) is 618,797,200, the average is 171,888,11.,111.

Other Arithmetic Functions (n = 249514300)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 85547520 Total number of positive integers not greater than n that are coprime to n λ(n) 1782240 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 13638485 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 85,547,520 positive integers (less than 249,514,300) that are coprime with 249,514,300. And there are approximately 13,638,485 prime numbers less than or equal to 249,514,300.

Divisibility of 249514300

 m n mod m 2 3 4 5 6 7 8 9 0 1 0 0 4 0 4 1

The number 249,514,300 is divisible by 2, 4, 5 and 7.

• Abundant

• Polite

Base conversion (249514300)

Base System Value
2 Binary 1110110111110100100100111100
3 Ternary 122101111122021101
4 Quaternary 32313310210330
5 Quinary 1002333424200
6 Senary 40431542444
8 Octal 1667644474
10 Decimal 249514300
12 Duodecimal 6b68aa24
20 Vigesimal 3hj95f0
36 Base36 44jygs

Basic calculations (n = 249514300)

Multiplication

n×y
 n×2 499028600 748542900 998057200 1247571500

Division

n÷y
 n÷2 1.24757e+08 8.31714e+07 6.23786e+07 4.99029e+07

Exponentiation

ny
 n2 62257385904490000 15534108063788689207000000 3875982099660590135402160100000000 967112960409342385221775195839430000000000

Nth Root

y√n
 2√n 15796 629.552 125.682 47.799

249514300 as geometric shapes

Circle

 Diameter 4.99029e+08 1.56774e+09 1.95587e+17

Sphere

 Volume 6.50691e+25 7.82349e+17 1.56774e+09

Square

Length = n
 Perimeter 9.98057e+08 6.22574e+16 3.52867e+08

Cube

Length = n
 Surface area 3.73544e+17 1.55341e+25 4.32171e+08

Equilateral Triangle

Length = n
 Perimeter 7.48543e+08 2.69582e+16 2.16086e+08

Triangular Pyramid

Length = n
 Surface area 1.07833e+17 1.83071e+24 2.03728e+08
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