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Number

538

538 is a composite number, even, a calendar year.

Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

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.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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

Parity
Even
Digit count
3
Digit sum
16
Digit product
120
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
835
Recamán's sequence
a(1,183) = 538
Square (n²)
289,444
Cube (n³)
155,720,872
Divisor count
4
σ(n) — sum of divisors
810
φ(n) — Euler's totient
268
Sum of prime factors
271

Primality

Prime factorization: 2 × 269

Nearest primes: 523 (−15) · 541 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 269 (half) · 538
Aliquot sum (sum of proper divisors): 272
Factor pairs (a × b = 538)
1 × 538
2 × 269
First multiples
538 · 1,076 (double) · 1,614 · 2,152 · 2,690 · 3,228 · 3,766 · 4,304 · 4,842 · 5,380

Sums & aliquot sequence

As a sum of two squares: 3² + 23²
As consecutive integers: 133 + 134 + 135 + 136
Aliquot sequence: 538 272 286 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

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)
In other bases
ternary (3) 201221
quaternary (4) 20122
quinary (5) 4123
senary (6) 2254
septenary (7) 1366
nonary (9) 657
undecimal (11) 44a
duodecimal (12) 38a
tridecimal (13) 325
tetradecimal (14) 2a6
pentadecimal (15) 25d

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
In other modern scripts
Eastern Arabic ٥٣٨ Devanagari ५३८ Bengali ৫৩৮ Tamil ௫௩௮ Thai ๕๓๘ Tibetan ༥༣༨ Khmer ៥៣៨ Lao ໕໓໘ Burmese ၅၃၈

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 decomposition

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.

Unicode codepoint
Ț
Latin Capital Letter T With Comma Below
U+021A
Uppercase letter (Lu)

UTF-8 encoding: C8 9A (2 bytes).

Hex color
#00021A
RGB(0, 2, 26)
IPv4 address

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.