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Number

58

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

58 (fifty-eight) is an even 2-digit number. It is a composite number with 4 divisors, and factors as 2 × 29. Written other ways, in Roman numerals it is LVIII and in binary, 111010.

Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Smith Number Squarefree Year

Interestingness

5 notable facts · grade C
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Historical context — 58 AD

Calendar year

AD 58 (LVIII) was a common year starting on Sunday of the Julian calendar.

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

Notable events — 58 BC

  1. Undated Caesar begins the Gallic Wars.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Tuesday
January 1, 58
Ended on
Tuesday
December 31, 58
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
50s
50–59
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,968
1968 years before 2026.

In other calendars

Hebrew
3818 / 3819 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
601 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
50 / 51 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-20 / -21 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
13
Digit product
40
Digital root
4
Palindrome
No
Bit width
6 bits
Reversed
85
Recamán's sequence
a(200) = 58
Square (n²)
3,364
Cube (n³)
195,112
Divisor count
4
σ(n) — sum of divisors
90
φ(n) — Euler's totient
28
Sum of prime factors
31

Primality

Prime factorization: 2 × 29

Nearest primes: 53 (−5) · 59 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 29 (half) · 58
Aliquot sum (sum of proper divisors): 32
Factor pairs (a × b = 58)
1 × 58
2 × 29
First multiples
58 · 116 (double) · 174 · 232 · 290 · 348 · 406 · 464 · 522 · 580

Sums & aliquot sequence

As a sum of two squares: 3² + 7²
As consecutive integers: 13 + 14 + 15 + 16
Aliquot sequence: 58 32 31 1 0 — terminates at zero

Continued fraction of √n

√58 = [7; (1, 1, 1, 1, 1, 1, 14)]

Period length 7 — the block in parentheses repeats forever.

Representations

In words
fifty-eight
Ordinal
58th
Roman numeral
LVIII
Binary
111010
Octal
72
Hexadecimal
0x3A
Base64
Og==
One's complement
197 (8-bit)
Scientific notation
5.8 × 10¹
In other bases
ternary (3) 2011
quaternary (4) 322
quinary (5) 213
senary (6) 134
septenary (7) 112
nonary (9) 64
undecimal (11) 53
duodecimal (12) 4a
tridecimal (13) 46
tetradecimal (14) 42
pentadecimal (15) 3d

As an angle

58°
58° ≈ 1.012 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
νηʹ
Mayan (base 20)
𝋢·𝋲
Chinese
五十八
Chinese (financial)
伍拾捌
In other modern scripts
Eastern Arabic ٥٨ Devanagari ५८ Bengali ৫৮ Tamil ௫௮ Thai ๕๘ Tibetan ༥༨ Khmer ៥៨ Lao ໕໘ Burmese ၅၈

Digit at this position in famous constants

π — Pi (π)
Digit 58 = 4
e — Euler's number (e)
Digit 58 = 6
φ — Golden ratio (φ)
Digit 58 = 5
√2 — Pythagoras's (√2)
Digit 58 = 6
ln 2 — Natural log of 2
Digit 58 = 0
γ — Euler-Mascheroni (γ)
Digit 58 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 58, here are decompositions:

  • 5 + 53 = 58
  • 11 + 47 = 58
  • 17 + 41 = 58
  • 29 + 29 = 58
ASCII character

As an ASCII codepoint, 58 is :. Printable ASCII character :.

Hex color
#00003A
RGB(0, 0, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.58.

Address
0.0.0.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.58

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 58 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯1 (58.3 Hz, -8¢)
  • Scientific pitch (C4 = 256 Hz): A♯1 (57 Hz, +30¢)
  • Baroque pitch (A4 = 415 Hz): B1 (58.2 Hz, -7¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 58 is A♯3 (233.1 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 58 is Cerium (Ce) — period 6.

Related reading