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Number

1,528

1,528 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1528 AD

  1. Apr 21 Spanish conquistadors land at Tampa Bay, Florida.
  2. Jun 28 England signs a treaty with France against the Empire.
  3. Undated Baldassare Castiglione publishes The Book of the Courtier.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Sunday
January 1, 1528
Ended on
Monday
December 31, 1528
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1520s
1520–1529
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
498
498 years before 2026.

In other calendars

Hebrew
5288 / 5289 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
934 / 935 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2071 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
906 / 907 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1520 / 1521 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1450 / 1449 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
80
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
8,251
Recamán's sequence
a(1,504) = 1,528
Square (n²)
2,334,784
Cube (n³)
3,567,549,952
Divisor count
8
σ(n) — sum of divisors
2,880
φ(n) — Euler's totient
760
Sum of prime factors
197

Primality

Prime factorization: 2 3 × 191

Nearest primes: 1,523 (−5) · 1,531 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 191 · 382 · 764 (half) · 1528
Aliquot sum (sum of proper divisors): 1,352
Factor pairs (a × b = 1,528)
1 × 1528
2 × 764
4 × 382
8 × 191
First multiples
1,528 · 3,056 (double) · 4,584 · 6,112 · 7,640 · 9,168 · 10,696 · 12,224 · 13,752 · 15,280

Sums & aliquot sequence

As consecutive integers: 88 + 89 + … + 103
Aliquot sequence: 1,528 1,352 1,393 207 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
one thousand five hundred twenty-eight
Ordinal
1528th
Roman numeral
MDXXVIII
Binary
10111111000
Octal
2770
Hexadecimal
0x5F8
Base64
Bfg=
One's complement
64,007 (16-bit)
In other bases
ternary (3) 2002121
quaternary (4) 113320
quinary (5) 22103
senary (6) 11024
septenary (7) 4312
nonary (9) 2077
undecimal (11) 116a
duodecimal (12) a74
tridecimal (13) 907
tetradecimal (14) 7b2
pentadecimal (15) 6bd

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφκηʹ
Mayan (base 20)
𝋣·𝋰·𝋨
Chinese
一千五百二十八
Chinese (financial)
壹仟伍佰貳拾捌
In other modern scripts
Eastern Arabic ١٥٢٨ Devanagari १५२८ Bengali ১৫২৮ Tamil ௧௫௨௮ Thai ๑๕๒๘ Tibetan ༡༥༢༨ Khmer ១៥២៨ Lao ໑໕໒໘ Burmese ၁၅၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,528 = 0
e — Euler's number (e)
Digit 1,528 = 1
φ — Golden ratio (φ)
Digit 1,528 = 9
√2 — Pythagoras's (√2)
Digit 1,528 = 8
ln 2 — Natural log of 2
Digit 1,528 = 7
γ — Euler-Mascheroni (γ)
Digit 1,528 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1528, here are decompositions:

  • 5 + 1523 = 1528
  • 17 + 1511 = 1528
  • 29 + 1499 = 1528
  • 41 + 1487 = 1528
  • 47 + 1481 = 1528
  • 89 + 1439 = 1528
  • 101 + 1427 = 1528
  • 167 + 1361 = 1528

Showing the first eight; more decompositions exist.

Hex color
#0005F8
RGB(0, 5, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.248.

Address
0.0.5.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.248

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

Position in π

The digit sequence 1528 first appears in π at position 3,414 of the decimal expansion (the 3,414ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.