Number

528

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

528 (five hundred twenty-eight) is an even 3-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 11. Its proper divisors sum to 960, more than the number itself, making it an abundant number. It is the 32nd triangular number. Written other ways, in Roman numerals it is DXXVIII and in binary, 1000010000.

Abundant Number Evil Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Triangular Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540

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Historical context — 528 AD

Calendar year

Year 528 (DXXVIII) was a leap year starting on Saturday of the Julian calendar.

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

Historical context — 528 BC

Decade

This article concerns the period 529 BC – 520 BC.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 528
Ended on: Friday
December 31, 528
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 520s
520–529
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,498
1498 years before 2026.

In other calendars

Hebrew: 4288 / 4289 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1071 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 520 / 521 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 450 / 449 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 80
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 825
Recamán's sequence: a(1,203) = 528
Square (n²): 278,784
Cube (n³): 147,197,952
Divisor count: 20
σ(n) — sum of divisors: 1,488
φ(n) — Euler's totient: 160
Sum of prime factors: 22

Primality

Prime factorization: 2 ⁴ × 3 × 11

Nearest primes: 523 (−5) · 541 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 33 · 44 · 48 · 66 · 88 · 132 · 176 · 264 (half) · 528

Aliquot sum (sum of proper divisors): 960

Factor pairs (a × b = 528)

1 × 528

2 × 264

3 × 176

4 × 132

6 × 88

8 × 66

11 × 48

12 × 44

16 × 33

22 × 24

First multiples

528 · 1,056 (double) · 1,584 · 2,112 · 2,640 · 3,168 · 3,696 · 4,224 · 4,752 · 5,280

Sums & aliquot sequence

As consecutive integers: 175 + 176 + 177 43 + 44 + … + 53 1 + 2 + … + 32

Aliquot sequence: 528 → 960 → 2,088 → 3,762 → 5,598 → 6,570 → 10,746 → 13,254 → 13,830 → 19,434 → 20,886 → 21,606 → 25,098 → 26,742 → 26,754 → 40,446 → 63,234 — unresolved within range

Continued fraction of √n

√528 = [22; (1, 44)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty-eight
Ordinal: 528th
Roman numeral: DXXVIII
Binary: 1000010000
Octal: 1020
Hexadecimal: 0x210
Base64: AhA=
One's complement: 65,007 (16-bit)
Scientific notation: 5.28 × 10²
As a duration: 528 s = 8 minutes, 48 seconds

In other bases

ternary (3) 201120

quaternary (4) 20100

quinary (5) 4103

senary (6) 2240

septenary (7) 1353

nonary (9) 646

undecimal (11) 440

duodecimal (12) 380

tridecimal (13) 318

tetradecimal (14) 29a

pentadecimal (15) 253

Palindromic in base 9

As an angle

528° = 1 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): φκηʹ
Mayan (base 20): 𝋡·𝋦·𝋨
Chinese: 五百二十八
Chinese (financial): 伍佰貳拾捌

In other modern scripts

Eastern Arabic ٥٢٨ Devanagari ५२८ Bengali ৫২৮ Tamil ௫௨௮ Thai ๕๒๘ Tibetan ༥༢༨ Khmer ៥២៨ Lao ໕໒໘ Burmese ၅၂၈

Digit at this position in famous constants

π — Pi (π): Digit 528 = 9
e — Euler's number (e): Digit 528 = 8
φ — Golden ratio (φ): Digit 528 = 6
√2 — Pythagoras's (√2): Digit 528 = 3
ln 2 — Natural log of 2: Digit 528 = 2
γ — Euler-Mascheroni (γ): Digit 528 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 528, here are decompositions:

5 + 523 = 528
7 + 521 = 528
19 + 509 = 528
29 + 499 = 528
37 + 491 = 528
41 + 487 = 528
61 + 467 = 528
67 + 461 = 528

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter R With Double Grave

U+0210

Uppercase letter (Lu)

UTF-8 encoding: C8 90 (2 bytes).

Lookup U+0210 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000210

RGB(0, 2, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.16.

Address: 0.0.2.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.16

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

Musical pitch

Heard as a frequency, 528 Hz is closest to:

Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, +16¢)
Scientific pitch (C4 = 256 Hz): C♯5 (542.4 Hz, -47¢ — about midway to C5)
Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, +17¢)

One of the "Solfeggio" frequencies popularised in alternative-music circles; it has no standard musical role.