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Number

902

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

Arithmetic Number Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 902 AD

Calendar year

Year 902 (CMII) was a common year starting on Friday of the Julian calendar.

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Historical context — 902 BC

Decade

The 900s BC is a decade that lasted from 909 BC to 900 BC.

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
Sunday
January 1, 902
Ended on
Sunday
December 31, 902
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
900s
900–909
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,124
1124 years before 2026.

In other calendars

Hebrew
4662 / 4663 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
289 / 290 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1445 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
280 / 281 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
894 / 895 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
824 / 823 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
209
Recamán's sequence
a(435) = 902
Square (n²)
813,604
Cube (n³)
733,870,808
Divisor count
8
σ(n) — sum of divisors
1,512
φ(n) — Euler's totient
400
Sum of prime factors
54

Primality

Prime factorization: 2 × 11 × 41

Nearest primes: 887 (−15) · 907 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 41 · 82 · 451 (half) · 902
Aliquot sum (sum of proper divisors): 610
Factor pairs (a × b = 902)
1 × 902
2 × 451
11 × 82
22 × 41
First multiples
902 · 1,804 (double) · 2,706 · 3,608 · 4,510 · 5,412 · 6,314 · 7,216 · 8,118 · 9,020

Sums & aliquot sequence

As consecutive integers: 224 + 225 + 226 + 227 77 + 78 + … + 87 2 + 3 + … + 42
Aliquot sequence: 902 610 506 358 182 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
nine hundred two
Ordinal
902nd
Roman numeral
CMII
Binary
1110000110
Octal
1606
Hexadecimal
0x386
Base64
A4Y=
One's complement
64,633 (16-bit)
In other bases
ternary (3) 1020102
quaternary (4) 32012
quinary (5) 12102
senary (6) 4102
septenary (7) 2426
nonary (9) 1212
undecimal (11) 750
duodecimal (12) 632
tridecimal (13) 545
tetradecimal (14) 486
pentadecimal (15) 402

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
ϡβʹ
Mayan (base 20)
𝋢·𝋥·𝋢
Chinese
九百零二
Chinese (financial)
玖佰零貳
In other modern scripts
Eastern Arabic ٩٠٢ Devanagari ९०२ Bengali ৯০২ Tamil ௯௦௨ Thai ๙๐๒ Tibetan ༩༠༢ Khmer ៩០២ Lao ໙໐໒ Burmese ၉၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 902 = 5
e — Euler's number (e)
Digit 902 = 7
φ — Golden ratio (φ)
Digit 902 = 7
√2 — Pythagoras's (√2)
Digit 902 = 0
ln 2 — Natural log of 2
Digit 902 = 0
γ — Euler-Mascheroni (γ)
Digit 902 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 902, here are decompositions:

  • 19 + 883 = 902
  • 43 + 859 = 902
  • 73 + 829 = 902
  • 79 + 823 = 902
  • 151 + 751 = 902
  • 163 + 739 = 902
  • 193 + 709 = 902
  • 211 + 691 = 902

Showing the first eight; more decompositions exist.

Unicode codepoint
Ά
Greek Capital Letter Alpha With Tonos
U+0386
Uppercase letter (Lu)

UTF-8 encoding: CE 86 (2 bytes).

Hex color
#000386
RGB(0, 3, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.134.

Address
0.0.3.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.134

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

NANP area code 902

The number 902 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
Nova Scotia and PEI
Country
Canada

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.