Number

532

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

532 (five hundred thirty-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 19. Its proper divisors sum to 588, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DXXXII and in binary, 1000010100.

Abundant Number Cube-Free Descending Digits Odious Number Pentagonal Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544

less more

Historical context — 532 AD

Calendar year

Year 532 (DXXXII) 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 — 532 BC

Calendar year

The year 532 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: 52
Started on: Tuesday
January 1, 532
Ended on: Wednesday
December 31, 532
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 530s
530–539
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,494
1494 years before 2026.

In other calendars

Hebrew: 4292 / 4293 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: 1075 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 524 / 525 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 454 / 453 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 10
Digit product: 30
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 235
Recamán's sequence: a(1,195) = 532
Square (n²): 283,024
Cube (n³): 150,568,768
Divisor count: 12
σ(n) — sum of divisors: 1,120
φ(n) — Euler's totient: 216
Sum of prime factors: 30

Primality

Prime factorization: 2 ² × 7 × 19

Nearest primes: 523 (−9) · 541 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 19 · 28 · 38 · 76 · 133 · 266 (half) · 532

Aliquot sum (sum of proper divisors): 588

Factor pairs (a × b = 532)

1 × 532

2 × 266

4 × 133

7 × 76

14 × 38

19 × 28

First multiples

532 · 1,064 (double) · 1,596 · 2,128 · 2,660 · 3,192 · 3,724 · 4,256 · 4,788 · 5,320

Sums & aliquot sequence

As consecutive integers: 73 + 74 + … + 79 63 + 64 + … + 70 19 + 20 + … + 37

Aliquot sequence: 532 → 588 → 1,008 → 2,216 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√532 = [23; (15, 2, 1, 4, 2, 4, 1, 2, 15, 46)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: five hundred thirty-two
Ordinal: 532nd
Roman numeral: DXXXII
Binary: 1000010100
Octal: 1024
Hexadecimal: 0x214
Base64: AhQ=
One's complement: 65,003 (16-bit)
Scientific notation: 5.32 × 10²
As a duration: 532 s = 8 minutes, 52 seconds

In other bases

ternary (3) 201201

quaternary (4) 20110

quinary (5) 4112

senary (6) 2244

septenary (7) 1360

nonary (9) 651

undecimal (11) 444

duodecimal (12) 384

tridecimal (13) 31c

tetradecimal (14) 2a0

pentadecimal (15) 257

Palindromic in base 11

As an angle

532° = 1 × 360° + 172°

172° ≈ 3.002 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): φλβʹ
Mayan (base 20): 𝋡·𝋦·𝋬
Chinese: 五百三十二
Chinese (financial): 伍佰參拾貳

In other modern scripts

Eastern Arabic ٥٣٢ Devanagari ५३२ Bengali ৫৩২ Tamil ௫௩௨ Thai ๕๓๒ Tibetan ༥༣༢ Khmer ៥៣២ Lao ໕໓໒ Burmese ၅၃၂

Digit at this position in famous constants

π — Pi (π): Digit 532 = 6
e — Euler's number (e): Digit 532 = 8
φ — Golden ratio (φ): Digit 532 = 0
√2 — Pythagoras's (√2): Digit 532 = 0
ln 2 — Natural log of 2: Digit 532 = 4
γ — Euler-Mascheroni (γ): Digit 532 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 532, here are decompositions:

11 + 521 = 532
23 + 509 = 532
29 + 503 = 532
41 + 491 = 532
53 + 479 = 532
71 + 461 = 532
83 + 449 = 532
89 + 443 = 532

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter U With Double Grave

U+0214

Uppercase letter (Lu)

UTF-8 encoding: C8 94 (2 bytes).

Lookup U+0214 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000214

RGB(0, 2, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.20.

Address: 0.0.2.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.20

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

Musical pitch

Heard as a frequency, 532 Hz is closest to:

Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, +29¢)
Scientific pitch (C4 = 256 Hz): C♯5 (542.4 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, +30¢)