55,440
55,440 is a composite number, even.
55,440 (fifty-five thousand four hundred forty) is an even 5-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 7 × 11. Its proper divisors sum to 176,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD890.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 4,455
- Recamán's sequence
- a(140,675) = 55,440
- Square (n²)
- 3,073,593,600
- Cube (n³)
- 170,400,029,184,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 232,128
- φ(n) — Euler's totient
- 11,520
- Sum of prime factors
- 37
Primality
Prime factorization: 2 4 × 3 2 × 5 × 7 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√55,440 = [235; (2, 5, 3, 5, 2, 470)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- fifty-five thousand four hundred forty
- Ordinal
- 55440th
- Binary
- 1101100010010000
- Octal
- 154220
- Hexadecimal
- 0xD890
- Base64
- 2JA=
- One's complement
- 10,095 (16-bit)
- Scientific notation
- 5.544 × 10⁴
- As a duration
- 55,440 s = 15 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵νευμʹ
- Mayan (base 20)
- 𝋦·𝋲·𝋬·𝋠
- Chinese
- 五萬五千四百四十
- Chinese (financial)
- 伍萬伍仟肆佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 55,440 = 2
- e — Euler's number (e)
- Digit 55,440 = 3
- φ — Golden ratio (φ)
- Digit 55,440 = 3
- √2 — Pythagoras's (√2)
- Digit 55,440 = 6
- ln 2 — Natural log of 2
- Digit 55,440 = 5
- γ — Euler-Mascheroni (γ)
- Digit 55,440 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 55440, here are decompositions:
- 29 + 55411 = 55440
- 41 + 55399 = 55440
- 59 + 55381 = 55440
- 67 + 55373 = 55440
- 89 + 55351 = 55440
- 97 + 55343 = 55440
- 101 + 55339 = 55440
- 103 + 55337 = 55440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.216.144.
- Address
- 0.0.216.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.216.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 55440 first appears in π at position 374,948 of the decimal expansion (the 374,948ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.