2,492
2,492 is a composite number, even.
2,492 (two thousand four hundred ninety-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 89. Its proper divisors sum to 2,548, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCDXCII and in binary, 100110111100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 17
- Digit product
- 144
- Digital root
- 8
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,942
- Recamán's sequence
- a(2,955) = 2,492
- Square (n²)
- 6,210,064
- Cube (n³)
- 15,475,479,488
- Divisor count
- 12
- σ(n) — sum of divisors
- 5,040
- φ(n) — Euler's totient
- 1,056
- Sum of prime factors
- 100
Primality
Prime factorization: 2 2 × 7 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,492 = [49; (1, 11, 2, 24, 2, 11, 1, 98)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- two thousand four hundred ninety-two
- Ordinal
- 2492nd
- Roman numeral
- MMCDXCII
- Binary
- 100110111100
- Octal
- 4674
- Hexadecimal
- 0x9BC
- Base64
- Cbw=
- One's complement
- 63,043 (16-bit)
- Scientific notation
- 2.492 × 10³
- As a duration
- 2,492 s = 41 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βυϟβʹ
- Mayan (base 20)
- 𝋦·𝋤·𝋬
- Chinese
- 二千四百九十二
- Chinese (financial)
- 貳仟肆佰玖拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,492 = 1
- e — Euler's number (e)
- Digit 2,492 = 1
- φ — Golden ratio (φ)
- Digit 2,492 = 4
- √2 — Pythagoras's (√2)
- Digit 2,492 = 7
- ln 2 — Natural log of 2
- Digit 2,492 = 5
- γ — Euler-Mascheroni (γ)
- Digit 2,492 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2492, here are decompositions:
- 19 + 2473 = 2492
- 103 + 2389 = 2492
- 109 + 2383 = 2492
- 151 + 2341 = 2492
- 181 + 2311 = 2492
- 199 + 2293 = 2492
- 211 + 2281 = 2492
- 223 + 2269 = 2492
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A6 BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.188.
- Address
- 0.0.9.188
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.9.188
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,492 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, +2¢)
- Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +40¢)
- Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, +3¢)
The digit sequence 2492 first appears in π at position 27,977 of the decimal expansion (the 27,977ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.