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27,648

27,648 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Achilles Number Evil Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
2,688
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
84,672
Recamán's sequence
a(35,135) = 27,648
Square (n²)
764,411,904
Cube (n³)
21,134,460,321,792
Divisor count
44
σ(n) — sum of divisors
81,880
φ(n) — Euler's totient
9,216
Sum of prime factors
29

Primality

Prime factorization: 2 10 × 3 3

Nearest primes: 27,647 (−1) · 27,653 (+5)

Divisors & multiples

All divisors (44)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 96 · 108 · 128 · 144 · 192 · 216 · 256 · 288 · 384 · 432 · 512 · 576 · 768 · 864 · 1024 · 1152 · 1536 · 1728 · 2304 · 3072 · 3456 · 4608 · 6912 · 9216 · 13824 (half) · 27648
Aliquot sum (sum of proper divisors): 54,232
Factor pairs (a × b = 27,648)
1 × 27648
2 × 13824
3 × 9216
4 × 6912
6 × 4608
8 × 3456
9 × 3072
12 × 2304
16 × 1728
18 × 1536
24 × 1152
27 × 1024
32 × 864
36 × 768
48 × 576
54 × 512
64 × 432
72 × 384
96 × 288
108 × 256
128 × 216
144 × 192
First multiples
27,648 · 55,296 (double) · 82,944 · 110,592 · 138,240 · 165,888 · 193,536 · 221,184 · 248,832 · 276,480

Sums & aliquot sequence

As consecutive integers: 9,215 + 9,216 + 9,217 3,068 + 3,069 + … + 3,076 1,011 + 1,012 + … + 1,037
Aliquot sequence: 27,648 54,232 47,468 35,608 31,172 23,386 14,918 7,462 6,650 8,230 6,602 3,304 3,896 3,424 3,380 4,306 2,156 — unresolved within range

Representations

In words
twenty-seven thousand six hundred forty-eight
Ordinal
27648th
Binary
110110000000000
Octal
66000
Hexadecimal
0x6C00
Base64
bAA=
One's complement
37,887 (16-bit)
In other bases
ternary (3) 1101221000
quaternary (4) 12300000
quinary (5) 1341043
senary (6) 332000
septenary (7) 143415
nonary (9) 41830
undecimal (11) 19855
duodecimal (12) 14000
tridecimal (13) c77a
tetradecimal (14) a10c
pentadecimal (15) 82d3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κζχμηʹ
Mayan (base 20)
𝋣·𝋩·𝋢·𝋨
Chinese
二萬七千六百四十八
Chinese (financial)
貳萬柒仟陸佰肆拾捌
In other modern scripts
Eastern Arabic ٢٧٦٤٨ Devanagari २७६४८ Bengali ২৭৬৪৮ Tamil ௨௭௬௪௮ Thai ๒๗๖๔๘ Tibetan ༢༧༦༤༨ Khmer ២៧៦៤៨ Lao ໒໗໖໔໘ Burmese ၂၇၆၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 27,648 = 0
e — Euler's number (e)
Digit 27,648 = 1
φ — Golden ratio (φ)
Digit 27,648 = 6
√2 — Pythagoras's (√2)
Digit 27,648 = 9
ln 2 — Natural log of 2
Digit 27,648 = 6
γ — Euler-Mascheroni (γ)
Digit 27,648 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 27648, here are decompositions:

  • 17 + 27631 = 27648
  • 31 + 27617 = 27648
  • 37 + 27611 = 27648
  • 67 + 27581 = 27648
  • 97 + 27551 = 27648
  • 107 + 27541 = 27648
  • 109 + 27539 = 27648
  • 139 + 27509 = 27648

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6C00
U+6C00
Other letter (Lo)

UTF-8 encoding: E6 B0 80 (3 bytes).

Hex color
#006C00
RGB(0, 108, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.108.0.

Address
0.0.108.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.108.0

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

Position in π

The digit sequence 27648 first appears in π at position 9,694 of the decimal expansion (the 9,694ordinal-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.