Number

52

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

Bell Number Decagonal Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 52 AD

Calendar year

AD 52 (LII) was a leap year starting on Saturday of the Julian calendar.

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Historical context — 52 BC

Calendar year

Year 52 BC was a year of the pre-Julian Roman calendar.

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Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Monday
January 1, 52
Ended on: Tuesday
December 31, 52
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 50s
50–59
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,974
1974 years before 2026.

In other calendars

Hebrew: 3812 / 3813 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 595 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 44 / 45 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): -26 / -27 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 2
Digit sum: 7
Digit product: 10
Digital root: 7
Palindrome: No
Bit width: 6 bits
Reversed: 25
Recamán's sequence: a(212) = 52
Square (n²): 2,704
Cube (n³): 140,608
Divisor count: 6
σ(n) — sum of divisors: 98
φ(n) — Euler's totient: 24
Sum of prime factors: 17

Primality

Prime factorization: 2 ² × 13

Nearest primes: 47 (−5) · 53 (+1)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 13 · 26 (half) · 52

Aliquot sum (sum of proper divisors): 46

Factor pairs (a × b = 52)

1 × 52

2 × 26

4 × 13

First multiples

52 · 104 (double) · 156 · 208 · 260 · 312 · 364 · 416 · 468 · 520

Sums & aliquot sequence

As a sum of two squares: 4² + 6²

As consecutive integers: 3 + 4 + … + 10

Aliquot sequence: 52 → 46 → 26 → 16 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: fifty-two
Ordinal: 52nd
Roman numeral: LII
Binary: 110100
Octal: 64
Hexadecimal: 0x34
Base64: NA==
One's complement: 203 (8-bit)

In other bases

ternary (3) 1221

quaternary (4) 310

quinary (5) 202

senary (6) 124

septenary (7) 103

nonary (9) 57

undecimal (11) 48

duodecimal (12) 44

tridecimal (13) 40

tetradecimal (14) 3a

pentadecimal (15) 37

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): νβʹ
Mayan (base 20): 𝋢·𝋬
Chinese: 五十二
Chinese (financial): 伍拾貳

In other modern scripts

Eastern Arabic ٥٢ Devanagari ५२ Bengali ৫২ Tamil ௫௨ Thai ๕๒ Tibetan ༥༢ Khmer ៥២ Lao ໕໒ Burmese ၅၂

Digit at this position in famous constants

π — Pi (π): Digit 52 = 5
e — Euler's number (e): Digit 52 = 9
φ — Golden ratio (φ): Digit 52 = 2
√2 — Pythagoras's (√2): Digit 52 = 8
ln 2 — Natural log of 2: Digit 52 = 5
γ — Euler-Mascheroni (γ): Digit 52 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 52, here are decompositions:

5 + 47 = 52
11 + 41 = 52
23 + 29 = 52

ASCII character

As an ASCII codepoint, 52 is 4. Printable ASCII character 4.

Hex color

#000034

RGB(0, 0, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.52.

Address: 0.0.0.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.52

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