Number

1,488

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

1,488 (one thousand four hundred eighty-eight) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 31. Its proper divisors sum to 2,480, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDLXXXVIII and in binary, 10111010000.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,476 1,477 1,478 1,479 1,480 1,481 1,482 1,483 1,484 1,485 1,486 1,487 1,488 1,489 1,490 1,491 1,492 1,493 1,494 1,495 1,496 1,497 1,498 1,499 1,500

less more

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 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

Continued fraction of √n

√1,488 = [38; (1, 1, 2, 1, 5, 1, 2, 1, 1, 76)]

Period length 10 — the block in parentheses repeats forever.

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)
Scientific notation: 1.488 × 10³
As a duration: 1,488 s = 24 minutes, 48 seconds

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

Palindromic in base 7

As an angle

1,488° = 4 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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

Hebrew Letter Alef

U+05D0

Other letter (Lo)

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

Lookup U+05D0 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,488 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, +47¢ — about midway to G6)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +11¢)

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.

Look up 1488 on Pi Search ↗