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Number

1,648

1,648 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1648 AD

  1. Oct 24 The Peace of Westphalia ends the Thirty Years' War.
  2. Jan 30 The Treaty of Munster recognizes Dutch independence.
  3. Dec 6 Pride's Purge expels royalist MPs from Parliament.

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
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 1648
Ended on
Thursday
December 31, 1648
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 12
Sunday, April 12, 1648
Decade
1640s
1640–1649
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
378
378 years before 2026.

In other calendars

Hebrew
5408 / 5409 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1057 / 1058 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
2191 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1026 / 1027 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1640 / 1641 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1570 / 1569 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
192
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
8,461
Recamán's sequence
a(760) = 1,648
Square (n²)
2,715,904
Cube (n³)
4,475,809,792
Divisor count
10
σ(n) — sum of divisors
3,224
φ(n) — Euler's totient
816
Sum of prime factors
111

Primality

Prime factorization: 2 4 × 103

Nearest primes: 1,637 (−11) · 1,657 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 103 · 206 · 412 · 824 (half) · 1648
Aliquot sum (sum of proper divisors): 1,576
Factor pairs (a × b = 1,648)
1 × 1648
2 × 824
4 × 412
8 × 206
16 × 103
First multiples
1,648 · 3,296 (double) · 4,944 · 6,592 · 8,240 · 9,888 · 11,536 · 13,184 · 14,832 · 16,480

Sums & aliquot sequence

As consecutive integers: 36 + 37 + … + 67
Aliquot sequence: 1,648 1,576 1,394 874 566 286 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand six hundred forty-eight
Ordinal
1648th
Roman numeral
MDCXLVIII
Binary
11001110000
Octal
3160
Hexadecimal
0x670
Base64
BnA=
One's complement
63,887 (16-bit)
In other bases
ternary (3) 2021001
quaternary (4) 121300
quinary (5) 23043
senary (6) 11344
septenary (7) 4543
nonary (9) 2231
undecimal (11) 1269
duodecimal (12) b54
tridecimal (13) 99a
tetradecimal (14) 85a
pentadecimal (15) 74d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχμηʹ
Mayan (base 20)
𝋤·𝋢·𝋨
Chinese
一千六百四十八
Chinese (financial)
壹仟陸佰肆拾捌
In other modern scripts
Eastern Arabic ١٦٤٨ Devanagari १६४८ Bengali ১৬৪৮ Tamil ௧௬௪௮ Thai ๑๖๔๘ Tibetan ༡༦༤༨ Khmer ១៦៤៨ Lao ໑໖໔໘ Burmese ၁၆၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,648 = 8
e — Euler's number (e)
Digit 1,648 = 1
φ — Golden ratio (φ)
Digit 1,648 = 3
√2 — Pythagoras's (√2)
Digit 1,648 = 7
ln 2 — Natural log of 2
Digit 1,648 = 4
γ — Euler-Mascheroni (γ)
Digit 1,648 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1648, here are decompositions:

  • 11 + 1637 = 1648
  • 29 + 1619 = 1648
  • 41 + 1607 = 1648
  • 47 + 1601 = 1648
  • 89 + 1559 = 1648
  • 137 + 1511 = 1648
  • 149 + 1499 = 1648
  • 167 + 1481 = 1648

Showing the first eight; more decompositions exist.

Unicode codepoint
ٰ
Arabic Letter Superscript Alef
U+0670
Non-spacing mark (Mn)

UTF-8 encoding: D9 B0 (2 bytes).

Hex color
#000670
RGB(0, 6, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.112.

Address
0.0.6.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.112

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

Position in π

The digit sequence 1648 first appears in π at position 13,446 of the decimal expansion (the 13,446ordinal-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.