Math Question: If a number is increased by 25% and then decreased by 15%, what is the final value?

To find the final value, we can represent the number as a decimal, which becomes 1924. After increasing it by 25%, the new value is 1924 + (0.25)(1924) = 2405. On this new value, if we decrease it by 15%, we get 2405 - (0.15)(2405) = 2044.25. Hence, the final value is approximately 2044.25. In summary, starting with the number 1924, increasing it by 25% and then decreasing it by 15% results in a final value of approximately 2044.25.

Math Question: What is the sum of the squares of the digits of the number 1924?

To find the sum of the squares of the digits in 1924, we break down the number into its individual digits: 1, 9, 2, and 4. Now, we square each of these digits to get: 1^2 + 9^2 + 2^2 + 4^2 = 1 + 81 + 4 + 16 = 102. Hence, the sum of the squares of the digits in 1924 is 102. Explanation: By decomposing the given number 1924 into its individual digits and then squaring each digit, we can find the sum of the squares. Squaring 1 gives 1, 9 squared equals 81, squaring 2 yields 4, and finally, 4 squared equals 16. Adding these individual results together, we obtain a total sum of 102.

Question: Suppose a positive integer, when divided by 4, leaves a remainder of 3. If this number is also divisible by 7, what is the smallest possible value for the number between 1924 and 1999? Solution: Let's find the smallest positive integer greater than or equal to 1924 that satisfies the given conditions. Step 1: Find the first number greater than 1924 that leaves a remainder of 3 when divided by 4. The multiples of 4 are 4, 8, 12, 16, 20, and so on. The first number to satisfy the condition is 1924 + 4 = 1928. Step 2: Determine the multiples of 7 between 1928 and 1999 (inclusive). The multiples of 7 are 1928, 1935, 1942, 1949, 1956, 1963, 1970, 1977, 1984, 1991, 1998. Out of these numbers, the smallest value between 1924 and 1999 that satisfies both conditions (divisible by 7 and leaving a remainder of 3 when divided by 4) is 1935.

The smallest positive integer between 1924 and 1999 that is divisible by 7 and leaves a remainder of 3 when divided by 4 is 1935.

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

1924 (number)

1924 is an even 4-digits composite number following 1923 and preceding 1925. In scientific notation, it is written as 1.924 × 10^3. The sum of its digits is 16. It has a total of 4 prime factors and 12 positive divisors. There are 864 positive integers (up to 1924) that are relatively prime to 1924.

Interesting facts

1924 has 12 divisors, whose sum is 3724
The reverse of 1924 is 4291
Previous prime number is 13

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 16
Digital Root 7

Name

Name	one thousand nine hundred twenty-four

Notation

Scientific notation	1.924 × 10^3
Engineering notation	1.924 × 10^3

Prime Factorization of 1924

Prime Factorization 2 × 2 × 13 × 37

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	962	Product of the distinct prime numbers

The prime factorization of 1924 is 2 × 2 × 13 × 37. Since it has a total of 4 prime factors.

Most popular turbo-numbers

8, 10, 82, 56, 372, 841, 8156, 4498, 74153, 4075, 305657, 619256, 1604443, 9700884, 69599800, 55813223, 499047506, 578322609, 1182969258, 4745844300

Basic calculations (n = 1924)

Multiplication

n×y

n×2	3848
n×3	5772
n×4	7696
n×5	9620

Division

n÷y

n÷2	962
n÷3	641.33333333333
n÷3	481
n÷5	384.8

Exponentiation

n^y

n²	3701776
n³	7122217024
n⁴	13703145554176
n⁵	26364852046234624

Nth Root

^y√n

²√n	43.863424398923
³√n	12.437555238259
⁴√n	6.6229468062882
⁵√n	4.5377546818404

Divisors of 1924

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

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	-1923	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 1924 can be divided by 12 positive divisors. The sum of these divisors (counting 1924) is 1, the average is 0.083333333333333.

Base conversion 1924

Base	System	Value
2	Binary	11110000100
3	Ternary	2122021
4	Quaternary	132010
5	Quinary	30144
6	Senary	12524
8	Octal	3604
10	Decimal	1924
12	Duodecimal	1144
16	Hexadecimal	784
20	Vigesimal	4g4
36	Base36	1hg

Cryptographic Hash Functions

md5	b139e104214a08ae3f2ebcce149cdf6e
sha1	1d8548bc79bcb5dd8cc9f56646c0e952227ddd07
sha256	3849ba084da2faea804918e8d999dee3f176659e0216debcccbf86b3e6b769ef
sha512	857c5a03e25cb56c9637e458034a2ea839073a4520016604cf6bcaf4ccd0f254e8948fdb3c608953ab8c8ae41960798cc530ab6ffede146b046cc15fa89663be
ripemd-160	9f0fee7947be24c5a48517025fee5e3878b87f47

1924 as geometric shapes

Circle

Radius = n

Diameter	3848
Circumference	12088.848531014
Area	11629472.286835

Sphere

Radius = n

Volume	29833472906.494
Surface area	46517889.14734
Circumference	12088.848531014

Square

Length = n

Perimeter	7696
Area	3701776
Diagonal	2720.9468940058

Cube

Length = n

Surface area	22210656
Volume	7122217024
Space diagonal	3332.4657537625

Equilateral Triangle

Length = n

Perimeter	5772
Area	1602916.0275598
Altitude	1666.2328768813

Triangular Pyramid

Length = n

Surface area	1602916.0275598
Volume	839361325.79211
Height	906.98229800195