402
402 is a composite number, even, a calendar year.
402 (four hundred two) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 67. Its proper divisors sum to 414, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDII and in binary, 110010010.
Interestingness
Historical context — 402 AD
Calendar year
Year 402 (CDII) was a common year starting on Wednesday of the Julian calendar.
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Historical context — 402 BC
Calendar year
Year 402 BC was a year of the pre-Julian Roman calendar.
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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, 402
- Ended on
-
Tuesday
December 31, 402
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
400s
400–409
- Century
-
5th century
401–500
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,624
1624 years before 2026.
In other calendars
- Hebrew
-
4162 / 4163 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
945 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
394 / 395 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
324 / 323 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 3 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√402 = [20; (20, 40)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred two
- Ordinal
- 402nd
- Roman numeral
- CDII
- Binary
- 110010010
- Octal
- 622
- Hexadecimal
- 0x192
- Base64
- AZI=
- One's complement
- 65,133 (16-bit)
- Scientific notation
- 4.02 × 10²
- As a duration
- 402 s = 6 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓏺𓏺
- Greek (Milesian)
- υβʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋢
- Chinese
- 四百零二
- Chinese (financial)
- 肆佰零貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 402 = 3
- e — Euler's number (e)
- Digit 402 = 9
- φ — Golden ratio (φ)
- Digit 402 = 3
- √2 — Pythagoras's (√2)
- Digit 402 = 6
- ln 2 — Natural log of 2
- Digit 402 = 6
- γ — Euler-Mascheroni (γ)
- Digit 402 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 402, here are decompositions:
- 5 + 397 = 402
- 13 + 389 = 402
- 19 + 383 = 402
- 23 + 379 = 402
- 29 + 373 = 402
- 43 + 359 = 402
- 53 + 349 = 402
- 71 + 331 = 402
Showing the first eight; more decompositions exist.
UTF-8 encoding: C6 92 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.146.
- Address
- 0.0.1.146
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.146
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 402 is an active NANP area code (North American Numbering Plan).
- Primary area
- Omaha / Lincoln
- Region
- Nebraska
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 402 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G4 (392 Hz, +44¢)
- Scientific pitch (C4 = 256 Hz): G♯4 (406.4 Hz, -19¢)
- Baroque pitch (A4 = 415 Hz): G♯4 (391.7 Hz, +45¢ — about midway to A4)
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.