Math question: What is the largest three-digit number that is divisible by 4, 7, and 9?

To find the largest three-digit number divisible by 4, 7, and 9, we need to find their least common multiple (LCM). The LCM of 4, 7, and 9 is 252. The largest three-digit number that is divisible by 4, 7, and 9 is thus 252 itself. Dividing 252 by any of the three given numbers will yield whole numbers, making it the optimal choice.

Math question: What is the smallest positive integer that is divisible by 7, 8, and 9?

To find the smallest positive integer divisible by three given numbers, we can calculate their least common multiple (LCM). Prime factorizing the numbers, we have 7 = 7, 8 = 2^3, and 9 = 3^2. Taking the highest power of each prime factor, the LCM is 2^3 * 3^2 * 7 = 8 * 9 * 7 = 504. However, the question specifies a number up to 252. Therefore, the answer becomes 252, as it is the largest multiple of 7 within the given limit.

Math question: What is the prime factorization of 252?

To find the prime factorization of 252, we start by dividing it by the smallest prime number, which is 2. 252 divided by 2 gives us 126. We continue dividing by 2 until it is no longer divisible. Next, we divide by 3, getting 42. Continuing the process, we find that 42 is divisible by 2 (21), 3 (7), and finally by 7 (1). Therefore, the prime factorization of 252 is 2 × 2 × 3 × 3 × 7, or 2^2 × 3^2 × 7.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

252 (number)

252 is an even 3-digits composite number following 251 and preceding 253. In scientific notation, it is written as 2.52 × 10^2. The sum of its digits is 9. It has a total of 4 prime factors and 12 positive divisors. There are 72 positive integers (up to 252) that are relatively prime to 252.

Interesting facts

252 has 12 divisors, whose sum is 560
The reverse of 252 is 252
Previous prime number is 9

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 9
Digital Root 9

Name

Name	two hundred fifty-two

Notation

Scientific notation	2.52 × 10^2
Engineering notation	2.52 × 10^0

Prime Factorization of 252

Prime Factorization 2 × 2 × 9 × 7

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	126	Product of the distinct prime numbers

The prime factorization of 252 is 2 × 2 × 9 × 7. Since it has a total of 4 prime factors.

Most popular turbo-numbers

8, 6, 31, 97, 93, 319, 1396, 5714, 56048, 49168, 51428, 546155, 6765847, 8892831, 23667774, 20894703, 457489435, 885451255, 2547181147, 8459073646

Basic calculations (n = 252)

Multiplication

n×y

n×2	504
n×3	756
n×4	1008
n×5	1260

Division

n÷y

n÷2	126
n÷3	84
n÷3	63
n÷5	50.4

Exponentiation

n^y

n²	63504
n³	16003008
n⁴	4032758016
n⁵	1016255020032

Nth Root

^y√n

²√n	15.874507866388
³√n	6.3163595976564
⁴√n	3.9842826037303
⁵√n	3.0219001355856

Divisors of 252

1, 2, 4, 7, 9, 14, 18, 28, 36, 63, 126, 252

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-251	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 252 can be divided by 12 positive divisors. The sum of these divisors (counting 252) is 1, the average is 0.083333333333333.

Base conversion 252

Base	System	Value
2	Binary	11111100
3	Ternary	100100
4	Quaternary	3330
5	Quinary	2002
6	Senary	1100
8	Octal	374
10	Decimal	252
12	Duodecimal	190
16	Hexadecimal	fc
20	Vigesimal	cc
36	Base36	70

Cryptographic Hash Functions

md5	03c6b06952c750899bb03d998e631860
sha1	98fcc378d7f5adda37f271debf5d7a4d1cdd37b9
sha256	d6e5a20b30f87216b2c758f5e7a23c437dbc3dfa1ccb177c474de152bb0ef731
sha512	e5b377bad19744af535046f9f5ddef44cf599c0a246ecae76f743f979fab55b2ac36da0d440d8c921075fb225f379d6da1abc432dfcdec4303591dabba9559cf
ripemd-160	f5f998dc9a0da5c2bf5247f600b7fde9d7c010d8

252 as geometric shapes

Circle

Radius = n

Diameter	504
Circumference	1583.3626974093
Area	199503.69987357

Sphere

Radius = n

Volume	67033243.157518
Surface area	798014.79949426
Circumference	1583.3626974093

Square

Length = n

Perimeter	1008
Area	63504
Diagonal	356.38181771802

Cube

Length = n

Surface area	381024
Volume	16003008
Space diagonal	436.47680350736

Equilateral Triangle

Length = n

Perimeter	756
Area	27498.038620963
Altitude	218.23840175368

Triangular Pyramid

Length = n

Surface area	27498.038620963
Volume	1885972.5793638
Height	118.79393923934