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Number

1,488

1,488 is a composite number, even, a calendar year.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1488 AD

Calendar year

Year 1488 (MCDLXXXVIII) was a leap year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Sunday
January 1, 1488
Ended on
Monday
December 31, 1488
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1480s
1480–1489
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
538
538 years before 2026.

In other calendars

Hebrew
5248 / 5249 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
893 / 894 AH
Lunar calendar; year spans differ from Gregorian.
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
2031 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
866 / 867 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1480 / 1481 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1410 / 1409 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
256
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
8,841
Recamán's sequence
a(1,584) = 1,488
Square (n²)
2,214,144
Cube (n³)
3,294,646,272
Divisor count
20
σ(n) — sum of divisors
3,968
φ(n) — Euler's totient
480
Sum of prime factors
42

Primality

Prime factorization: 2 4 × 3 × 31

Nearest primes: 1,487 (−1) · 1,489 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 48 · 62 · 93 · 124 · 186 · 248 · 372 · 496 · 744 (half) · 1488
Aliquot sum (sum of proper divisors): 2,480
Factor pairs (a × b = 1,488)
1 × 1488
2 × 744
3 × 496
4 × 372
6 × 248
8 × 186
12 × 124
16 × 93
24 × 62
31 × 48
First multiples
1,488 · 2,976 (double) · 4,464 · 5,952 · 7,440 · 8,928 · 10,416 · 11,904 · 13,392 · 14,880

Sums & aliquot sequence

As consecutive integers: 495 + 496 + 497 33 + 34 + … + 63 31 + 32 + … + 62
Aliquot sequence: 1,488 2,480 3,472 4,464 8,432 9,424 10,416 21,328 22,320 55,056 95,728 96,720 236,592 459,792 881,392 882,384 1,474,608 — unresolved within range

Representations

In words
one thousand four hundred eighty-eight
Ordinal
1488th
Roman numeral
MCDLXXXVIII
Binary
10111010000
Octal
2720
Hexadecimal
0x5D0
Base64
BdA=
One's complement
64,047 (16-bit)
In other bases
ternary (3) 2001010
quaternary (4) 113100
quinary (5) 21423
senary (6) 10520
septenary (7) 4224
nonary (9) 2033
undecimal (11) 1133
duodecimal (12) a40
tridecimal (13) 8a6
tetradecimal (14) 784
pentadecimal (15) 693

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυπηʹ
Mayan (base 20)
𝋣·𝋮·𝋨
Chinese
一千四百八十八
Chinese (financial)
壹仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٤٨٨ Devanagari १४८८ Bengali ১৪৮৮ Tamil ௧௪௮௮ Thai ๑๔๘๘ Tibetan ༡༤༨༨ Khmer ១៤៨៨ Lao ໑໔໘໘ Burmese ၁၄၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,488 = 1
e — Euler's number (e)
Digit 1,488 = 4
φ — Golden ratio (φ)
Digit 1,488 = 0
√2 — Pythagoras's (√2)
Digit 1,488 = 4
ln 2 — Natural log of 2
Digit 1,488 = 4
γ — Euler-Mascheroni (γ)
Digit 1,488 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1488, here are decompositions:

  • 5 + 1483 = 1488
  • 7 + 1481 = 1488
  • 17 + 1471 = 1488
  • 29 + 1459 = 1488
  • 37 + 1451 = 1488
  • 41 + 1447 = 1488
  • 59 + 1429 = 1488
  • 61 + 1427 = 1488

Showing the first eight; more decompositions exist.

Unicode codepoint
א
Hebrew Letter Alef
U+05D0
Other letter (Lo)

UTF-8 encoding: D7 90 (2 bytes).

Hex color
#0005D0
RGB(0, 5, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.208.

Address
0.0.5.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.208

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

Position in π

The digit sequence 1488 first appears in π at position 19,467 of the decimal expansion (the 19,467ordinal-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.