Number

402

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

Abundant Number Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

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.

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

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

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 204
Recamán's sequence: a(2,448) = 402
Square (n²): 161,604
Cube (n³): 64,964,808
Divisor count: 8
σ(n) — sum of divisors: 816
φ(n) — Euler's totient: 132
Sum of prime factors: 72

Primality

Prime factorization: 2 × 3 × 67

Nearest primes: 401 (−1) · 409 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 67 · 134 · 201 (half) · 402

Aliquot sum (sum of proper divisors): 414

Factor pairs (a × b = 402)

1 × 402

2 × 201

3 × 134

6 × 67

First multiples

402 · 804 (double) · 1,206 · 1,608 · 2,010 · 2,412 · 2,814 · 3,216 · 3,618 · 4,020

Sums & aliquot sequence

As consecutive integers: 133 + 134 + 135 99 + 100 + 101 + 102 28 + 29 + … + 39

Aliquot sequence: 402 → 414 → 522 → 648 → 1,167 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

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)

In other bases

ternary (3) 112220

quaternary (4) 12102

quinary (5) 3102

senary (6) 1510

septenary (7) 1113

nonary (9) 486

undecimal (11) 336

duodecimal (12) 296

tridecimal (13) 24c

tetradecimal (14) 20a

pentadecimal (15) 1bc

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

In other modern scripts

Eastern Arabic ٤٠٢ Devanagari ४०२ Bengali ৪০২ Tamil ௪௦௨ Thai ๔๐๒ Tibetan ༤༠༢ Khmer ៤០២ Lao ໔໐໒ Burmese ၄၀၂

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 decomposition

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.

Unicode codepoint

Latin Small Letter F With Hook

U+0192

Lowercase letter (Ll)

UTF-8 encoding: C6 92 (2 bytes).

Lookup U+0192 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000192

RGB(0, 1, 146)

IPv4 address

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.

NANP area code 402

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.

Look up area code 402 ↗