53,328
53,328 is a composite number, even.
53,328 (fifty-three thousand three hundred twenty-eight) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 11 × 101. Its proper divisors sum to 98,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD050.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 720
- Digital root
- 3
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 82,335
- Recamán's sequence
- a(294,796) = 53,328
- Square (n²)
- 2,843,875,584
- Cube (n³)
- 151,658,197,143,552
- Divisor count
- 40
- σ(n) — sum of divisors
- 151,776
- φ(n) — Euler's totient
- 16,000
- Sum of prime factors
- 123
Primality
Prime factorization: 2 4 × 3 × 11 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√53,328 = [230; (1, 12, 1, 460)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- fifty-three thousand three hundred twenty-eight
- Ordinal
- 53328th
- Binary
- 1101000001010000
- Octal
- 150120
- Hexadecimal
- 0xD050
- Base64
- 0FA=
- One's complement
- 12,207 (16-bit)
- Scientific notation
- 5.3328 × 10⁴
- As a duration
- 53,328 s = 14 hours, 48 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵νγτκηʹ
- Mayan (base 20)
- 𝋦·𝋭·𝋦·𝋨
- Chinese
- 五萬三千三百二十八
- Chinese (financial)
- 伍萬參仟參佰貳拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 53,328 = 4
- e — Euler's number (e)
- Digit 53,328 = 4
- φ — Golden ratio (φ)
- Digit 53,328 = 5
- √2 — Pythagoras's (√2)
- Digit 53,328 = 8
- ln 2 — Natural log of 2
- Digit 53,328 = 8
- γ — Euler-Mascheroni (γ)
- Digit 53,328 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53328, here are decompositions:
- 5 + 53323 = 53328
- 19 + 53309 = 53328
- 29 + 53299 = 53328
- 47 + 53281 = 53328
- 59 + 53269 = 53328
- 61 + 53267 = 53328
- 89 + 53239 = 53328
- 97 + 53231 = 53328
Showing the first eight; more decompositions exist.
UTF-8 encoding: ED 81 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.208.80.
- Address
- 0.0.208.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.208.80
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 53328 first appears in π at position 10,523 of the decimal expansion (the 10,523ordinal-suffix:rd 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°.