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48,768

48,768 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 Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
33
Digit product
10,752
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
86,784
Recamán's sequence
a(15,200) = 48,768
Square (n²)
2,378,317,824
Cube (n³)
115,985,803,640,832
Divisor count
32
σ(n) — sum of divisors
130,560
φ(n) — Euler's totient
16,128
Sum of prime factors
144

Primality

Prime factorization: 2 7 × 3 × 127

Nearest primes: 48,767 (−1) · 48,779 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 127 · 128 · 192 · 254 · 381 · 384 · 508 · 762 · 1016 · 1524 · 2032 · 3048 · 4064 · 6096 · 8128 · 12192 · 16256 · 24384 (half) · 48768
Aliquot sum (sum of proper divisors): 81,792
Factor pairs (a × b = 48,768)
1 × 48768
2 × 24384
3 × 16256
4 × 12192
6 × 8128
8 × 6096
12 × 4064
16 × 3048
24 × 2032
32 × 1524
48 × 1016
64 × 762
96 × 508
127 × 384
128 × 381
192 × 254
First multiples
48,768 · 97,536 (double) · 146,304 · 195,072 · 243,840 · 292,608 · 341,376 · 390,144 · 438,912 · 487,680

Sums & aliquot sequence

As consecutive integers: 16,255 + 16,256 + 16,257 321 + 322 + … + 447 63 + 64 + … + 318
Aliquot sequence: 48,768 81,792 156,888 268,212 477,260 691,012 841,148 994,756 994,812 1,865,220 4,104,828 8,966,412 22,404,564 48,615,840 163,138,248 390,522,132 935,008,620 — unresolved within range

Representations

In words
forty-eight thousand seven hundred sixty-eight
Ordinal
48768th
Binary
1011111010000000
Octal
137200
Hexadecimal
0xBE80
Base64
voA=
One's complement
16,767 (16-bit)
In other bases
ternary (3) 2110220020
quaternary (4) 23322000
quinary (5) 3030033
senary (6) 1013440
septenary (7) 262116
nonary (9) 73806
undecimal (11) 33705
duodecimal (12) 24280
tridecimal (13) 19275
tetradecimal (14) 13ab6
pentadecimal (15) e6b3

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μηψξηʹ
Mayan (base 20)
𝋦·𝋡·𝋲·𝋨
Chinese
四萬八千七百六十八
Chinese (financial)
肆萬捌仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ٤٨٧٦٨ Devanagari ४८७६८ Bengali ৪৮৭৬৮ Tamil ௪௮௭௬௮ Thai ๔๘๗๖๘ Tibetan ༤༨༧༦༨ Khmer ៤៨៧៦៨ Lao ໔໘໗໖໘ Burmese ၄၈၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 48,768 = 5
e — Euler's number (e)
Digit 48,768 = 3
φ — Golden ratio (φ)
Digit 48,768 = 6
√2 — Pythagoras's (√2)
Digit 48,768 = 5
ln 2 — Natural log of 2
Digit 48,768 = 2
γ — Euler-Mascheroni (γ)
Digit 48,768 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 48768, here are decompositions:

  • 7 + 48761 = 48768
  • 11 + 48757 = 48768
  • 17 + 48751 = 48768
  • 37 + 48731 = 48768
  • 89 + 48679 = 48768
  • 107 + 48661 = 48768
  • 149 + 48619 = 48768
  • 157 + 48611 = 48768

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Bbaen
U+BE80
Other letter (Lo)

UTF-8 encoding: EB BA 80 (3 bytes).

Hex color
#00BE80
RGB(0, 190, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.190.128.

Address
0.0.190.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.190.128

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

Position in π

The digit sequence 48768 first appears in π at position 176,954 of the decimal expansion (the 176,954ordinal-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.