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Number

88

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

88 (eighty-eight) is an even 2-digit number. It is a composite number with 8 divisors, and factors as 2³ × 11. Its proper divisors sum to 92, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is LXXXVIII and in binary, 1011000.

Abundant Number Flippable Odious Number Palindrome Pernicious Number Practical Number Recamán's Sequence Refactorable Number Repdigit Semiperfect Number Strobogrammatic Year

Interestingness

8 notable facts · grade A
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Historical context — 88 AD

Calendar year

AD 88 (LXXXVIII) was a leap year starting on Tuesday of the Julian calendar.

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

Historical context — 88 BC

Calendar year

Year 88 BC was a year of the pre-Julian Roman calendar.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 88
Ended on
Friday
December 31, 88
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
80s
80–89
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,938
1938 years before 2026.

In other calendars

Hebrew
3848 / 3849 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
631 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
80 / 81 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
10 / 9 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
16
Digit product
64
Digital root
7
Palindrome
Yes
Bit width
7 bits
Recamán's sequence
a(59) = 88
Square (n²)
7,744
Cube (n³)
681,472
Divisor count
8
σ(n) — sum of divisors
180
φ(n) — Euler's totient
40
Sum of prime factors
17

Primality

Prime factorization: 2 3 × 11

Nearest primes: 83 (−5) · 89 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 11 · 22 · 44 (half) · 88
Aliquot sum (sum of proper divisors): 92
Factor pairs (a × b = 88)
1 × 88
2 × 44
4 × 22
8 × 11
First multiples
88 · 176 (double) · 264 · 352 · 440 · 528 · 616 · 704 · 792 · 880

Sums & aliquot sequence

As consecutive integers: 3 + 4 + … + 13
Aliquot sequence: 88 92 76 64 63 41 1 0 — terminates at zero

Continued fraction of √n

√88 = [9; (2, 1, 1, 1, 2, 18)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
eighty-eight
Ordinal
88th
Roman numeral
LXXXVIII
Binary
1011000
Octal
130
Hexadecimal
0x58
Base64
WA==
One's complement
167 (8-bit)
Scientific notation
8.8 × 10¹
As a duration
88 s = 1 minute, 28 seconds
In other bases
ternary (3) 10021
quaternary (4) 1120
quinary (5) 323
senary (6) 224
septenary (7) 154
nonary (9) 107
undecimal (11) 80
duodecimal (12) 74
tridecimal (13) 6a
tetradecimal (14) 64
pentadecimal (15) 5d
Palindromic in base 5

As an angle

88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
πηʹ
Mayan (base 20)
𝋤·𝋨
Chinese
八十八
Chinese (financial)
捌拾捌
In other modern scripts
Eastern Arabic ٨٨ Devanagari ८८ Bengali ৮৮ Tamil ௮௮ Thai ๘๘ Tibetan ༨༨ Khmer ៨៨ Lao ໘໘ Burmese ၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 88 = 4
e — Euler's number (e)
Digit 88 = 2
φ — Golden ratio (φ)
Digit 88 = 7
√2 — Pythagoras's (√2)
Digit 88 = 7
ln 2 — Natural log of 2
Digit 88 = 3
γ — Euler-Mascheroni (γ)
Digit 88 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 88, here are decompositions:

  • 5 + 83 = 88
  • 17 + 71 = 88
  • 29 + 59 = 88
  • 41 + 47 = 88
ASCII character

As an ASCII codepoint, 88 is X. Printable ASCII character X.

Hex color
#000058
RGB(0, 0, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.88.

Address
0.0.0.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.88

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

US numbered highway

Matches numbered highway designation:

  • I-88 — Two segments: Schenectady, NY and Chicago, IL→Rock Island.
Musical pitch

Heard as a frequency, 88 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F2 (87.3 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): F♯2 (90.5 Hz, -49¢ — about midway to F2)
  • Baroque pitch (A4 = 415 Hz): F♯2 (87.2 Hz, +15¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 88 is E6 (1318.5 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 88 is Radium (Ra) — period 7.

Related reading