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Number

392

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

Abundant Number Achilles Number Happy Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 392 AD

Calendar year

Year 392 (CCCXCII) was a leap year starting on Thursday of the Julian calendar.

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

Historical context — 392 BC

Calendar year

Year 392 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
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
Wednesday
January 1, 392
Ended on
Thursday
December 31, 392
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
390s
390–399
Century
4th century
301–400
Millennium
1st millennium
1–1000
Years ago
1,634
1634 years before 2026.

In other calendars

Hebrew
4152 / 4153 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
935 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
384 / 385 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
314 / 313 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
54
Digital root
5
Palindrome
No
Bit width
9 bits
Reversed
293
Recamán's sequence
a(2,468) = 392
Square (n²)
153,664
Cube (n³)
60,236,288
Divisor count
12
σ(n) — sum of divisors
855
φ(n) — Euler's totient
168
Sum of prime factors
20

Primality

Prime factorization: 2 3 × 7 2

Nearest primes: 389 (−3) · 397 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 49 · 56 · 98 · 196 (half) · 392
Aliquot sum (sum of proper divisors): 463
Factor pairs (a × b = 392)
1 × 392
2 × 196
4 × 98
7 × 56
8 × 49
14 × 28
First multiples
392 · 784 (double) · 1,176 · 1,568 · 1,960 · 2,352 · 2,744 · 3,136 · 3,528 · 3,920

Sums & aliquot sequence

As a sum of two squares: 14² + 14²
As consecutive integers: 53 + 54 + … + 59 17 + 18 + … + 32
Aliquot sequence: 392 463 1 0 — terminates at zero

Representations

In words
three hundred ninety-two
Ordinal
392nd
Roman numeral
CCCXCII
Binary
110001000
Octal
610
Hexadecimal
0x188
Base64
AYg=
One's complement
65,143 (16-bit)
In other bases
ternary (3) 112112
quaternary (4) 12020
quinary (5) 3032
senary (6) 1452
septenary (7) 1100
nonary (9) 475
undecimal (11) 327
duodecimal (12) 288
tridecimal (13) 242
tetradecimal (14) 200
pentadecimal (15) 1b2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
τϟβʹ
Mayan (base 20)
𝋳·𝋬
Chinese
三百九十二
Chinese (financial)
參佰玖拾貳
In other modern scripts
Eastern Arabic ٣٩٢ Devanagari ३९२ Bengali ৩৯২ Tamil ௩௯௨ Thai ๓๙๒ Tibetan ༣༩༢ Khmer ៣៩២ Lao ໓໙໒ Burmese ၃၉၂

Digit at this position in famous constants

π — Pi (π)
Digit 392 = 9
e — Euler's number (e)
Digit 392 = 2
φ — Golden ratio (φ)
Digit 392 = 0
√2 — Pythagoras's (√2)
Digit 392 = 4
ln 2 — Natural log of 2
Digit 392 = 6
γ — Euler-Mascheroni (γ)
Digit 392 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 392, here are decompositions:

  • 3 + 389 = 392
  • 13 + 379 = 392
  • 19 + 373 = 392
  • 43 + 349 = 392
  • 61 + 331 = 392
  • 79 + 313 = 392
  • 109 + 283 = 392
  • 151 + 241 = 392

Showing the first eight; more decompositions exist.

Unicode codepoint
ƈ
Latin Small Letter C With Hook
U+0188
Lowercase letter (Ll)

UTF-8 encoding: C6 88 (2 bytes).

Hex color
#000188
RGB(0, 1, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.136.

Address
0.0.1.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.136

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