Number

392

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

392 (three hundred ninety-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2³ × 7². Its proper divisors sum to 463, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXCII and in binary, 110001000.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404

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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 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 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

Continued fraction of √n

√392 = [19; (1, 3, 1, 38)]

Period length 4 — the block in parentheses repeats forever.

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)
Scientific notation: 3.92 × 10²
As a duration: 392 s = 6 minutes, 32 seconds

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

Palindromic in base 13

As an angle

392° = 1 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

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

Latin Small Letter C With Hook

U+0188

Lowercase letter (Ll)

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

Lookup U+0188 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 392 Hz is closest to:

Concert pitch (A4 = 440 Hz): G4 (392 Hz, exact)
Scientific pitch (C4 = 256 Hz): G4 (383.6 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G♯4 (391.7 Hz, +1¢)