538
538 is a composite number, even, a calendar year.
538 (five hundred thirty-eight) is an even 3-digit number. It is a composite number with 4 divisors, and factors as 2 × 269. Written other ways, in Roman numerals it is DXXXVIII and in binary, 1000011010.
Interestingness
Historical context — 538 AD
Calendar year
Year 538 (DXXXVIII) was a common year starting on Friday of the Julian calendar.
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Historical context — 538 BC
Calendar year
The year 538 BC was a year of the pre-Julian Roman calendar.
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Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Wednesday
January 1, 538
- Ended on
-
Wednesday
December 31, 538
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
530s
530–539
- Century
-
6th century
501–600
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,488
1488 years before 2026.
In other calendars
- Hebrew
-
4298 / 4299 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1081 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
530 / 531 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
460 / 459 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 269
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√538 = [23; (5, 7, 1, 1, 7, 5, 46)]
Period length 7 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirty-eight
- Ordinal
- 538th
- Roman numeral
- DXXXVIII
- Binary
- 1000011010
- Octal
- 1032
- Hexadecimal
- 0x21A
- Base64
- Aho=
- One's complement
- 64,997 (16-bit)
- Scientific notation
- 5.38 × 10²
- As a duration
- 538 s = 8 minutes, 58 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- φληʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋲
- Chinese
- 五百三十八
- Chinese (financial)
- 伍佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 538 = 4
- e — Euler's number (e)
- Digit 538 = 5
- φ — Golden ratio (φ)
- Digit 538 = 8
- √2 — Pythagoras's (√2)
- Digit 538 = 8
- ln 2 — Natural log of 2
- Digit 538 = 9
- γ — Euler-Mascheroni (γ)
- Digit 538 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 538, here are decompositions:
- 17 + 521 = 538
- 29 + 509 = 538
- 47 + 491 = 538
- 59 + 479 = 538
- 71 + 467 = 538
- 89 + 449 = 538
- 107 + 431 = 538
- 137 + 401 = 538
Showing the first eight; more decompositions exist.
UTF-8 encoding: C8 9A (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.26.
- Address
- 0.0.2.26
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.2.26
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 538 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, +48¢ — about midway to C♯5)
- Scientific pitch (C4 = 256 Hz): C♯5 (542.4 Hz, -14¢)
- Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, +49¢ — about midway to D5)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.