1,878
1,878 is a composite number, even, a calendar year.
1,878 (one thousand eight hundred seventy-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 313. Its proper divisors sum to 1,890, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCCLXXVIII and in binary, 11101010110.
Interestingness
Notable events — 1878 AD
- Mar 3 The Treaty of San Stefano ends the Russo-Turkish War.
- Jun 13 The Congress of Berlin redraws the map of the Balkans.
- Feb 19 Thomas Edison patents the phonograph.
- Oct 21 Edison demonstrates his improved incandescent light bulb.
- Jan 9 Umberto I becomes king of Italy upon the death of Victor Emmanuel II.
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, 1878
- Ended on
-
Tuesday
December 31, 1878
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Easter Sunday
-
April 21
Sunday, April 21, 1878
- Decade
-
1870s
1870–1879
- Century
-
19th century
1801–1900
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
148
148 years before 2026.
In other calendars
- Hebrew
-
5638 / 5639 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1294 / 1296 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2421 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
1256 / 1257 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1870 / 1871 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1800 / 1799 Saka
Indian national calendar; year starts in March.
- Japanese
-
Meiji 11
Reign-era counting from the start of each emperor's reign.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 24
- Digit product
- 448
- Digital root
- 6
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 8,781
- Recamán's sequence
- a(7,988) = 1,878
- Square (n²)
- 3,526,884
- Cube (n³)
- 6,623,488,152
- Divisor count
- 8
- σ(n) — sum of divisors
- 3,768
- φ(n) — Euler's totient
- 624
- Sum of prime factors
- 318
Primality
Prime factorization: 2 × 3 × 313
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,878 = [43; (2, 1, 42, 1, 2, 86)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one thousand eight hundred seventy-eight
- Ordinal
- 1878th
- Roman numeral
- MDCCCLXXVIII
- Binary
- 11101010110
- Octal
- 3526
- Hexadecimal
- 0x756
- Base64
- B1Y=
- One's complement
- 63,657 (16-bit)
- Scientific notation
- 1.878 × 10³
- As a duration
- 1,878 s = 31 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αωοηʹ
- Mayan (base 20)
- 𝋤·𝋭·𝋲
- Chinese
- 一千八百七十八
- Chinese (financial)
- 壹仟捌佰柒拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,878 = 0
- e — Euler's number (e)
- Digit 1,878 = 5
- φ — Golden ratio (φ)
- Digit 1,878 = 5
- √2 — Pythagoras's (√2)
- Digit 1,878 = 9
- ln 2 — Natural log of 2
- Digit 1,878 = 8
- γ — Euler-Mascheroni (γ)
- Digit 1,878 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1878, here are decompositions:
- 5 + 1873 = 1878
- 7 + 1871 = 1878
- 11 + 1867 = 1878
- 17 + 1861 = 1878
- 31 + 1847 = 1878
- 47 + 1831 = 1878
- 67 + 1811 = 1878
- 89 + 1789 = 1878
Showing the first eight; more decompositions exist.
UTF-8 encoding: DD 96 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.86.
- Address
- 0.0.7.86
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.7.86
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,878 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, +12¢)
- Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +50¢ — about midway to B6)
- Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, +14¢)
The digit sequence 1878 first appears in π at position 28,542 of the decimal expansion (the 28,542ordinal-suffix:nd 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°.