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48,960

48,960 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 Evil Number Gapful Number Practical Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
6,984
Square (n²)
2,397,081,600
Cube (n³)
117,361,115,136,000
Divisor count
84
σ(n) — sum of divisors
178,308
φ(n) — Euler's totient
12,288
Sum of prime factors
40

Primality

Prime factorization: 2 6 × 3 2 × 5 × 17

Nearest primes: 48,953 (−7) · 48,973 (+13)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 30 · 32 · 34 · 36 · 40 · 45 · 48 · 51 · 60 · 64 · 68 · 72 · 80 · 85 · 90 · 96 · 102 · 120 · 136 · 144 · 153 · 160 · 170 · 180 · 192 · 204 · 240 · 255 · 272 · 288 · 306 · 320 · 340 · 360 · 408 · 480 · 510 · 544 · 576 · 612 · 680 · 720 · 765 · 816 · 960 · 1020 · 1088 · 1224 · 1360 · 1440 · 1530 · 1632 · 2040 · 2448 · 2720 · 2880 · 3060 · 3264 · 4080 · 4896 · 5440 · 6120 · 8160 · 9792 · 12240 · 16320 · 24480 (half) · 48960
Aliquot sum (sum of proper divisors): 129,348
Factor pairs (a × b = 48,960)
1 × 48960
2 × 24480
3 × 16320
4 × 12240
5 × 9792
6 × 8160
8 × 6120
9 × 5440
10 × 4896
12 × 4080
15 × 3264
16 × 3060
17 × 2880
18 × 2720
20 × 2448
24 × 2040
30 × 1632
32 × 1530
34 × 1440
36 × 1360
40 × 1224
45 × 1088
48 × 1020
51 × 960
60 × 816
64 × 765
68 × 720
72 × 680
80 × 612
85 × 576
90 × 544
96 × 510
102 × 480
120 × 408
136 × 360
144 × 340
153 × 320
160 × 306
170 × 288
180 × 272
192 × 255
204 × 240
First multiples
48,960 · 97,920 (double) · 146,880 · 195,840 · 244,800 · 293,760 · 342,720 · 391,680 · 440,640 · 489,600

Sums & aliquot sequence

As a sum of two squares: 48² + 216² = 144² + 168²
As consecutive integers: 16,319 + 16,320 + 16,321 9,790 + 9,791 + 9,792 + 9,793 + 9,794 5,436 + 5,437 + … + 5,444 3,257 + 3,258 + … + 3,271
Aliquot sequence: 48,960 129,348 197,706 203,478 240,618 343,446 343,458 400,740 721,500 1,602,276 2,424,348 3,703,956 4,938,636 7,568,628 10,091,532 15,914,868 21,219,852 — unresolved within range

Representations

In words
forty-eight thousand nine hundred sixty
Ordinal
48960th
Binary
1011111101000000
Octal
137500
Hexadecimal
0xBF40
Base64
v0A=
One's complement
16,575 (16-bit)
In other bases
ternary (3) 2111011100
quaternary (4) 23331000
quinary (5) 3031320
senary (6) 1014400
septenary (7) 262512
nonary (9) 74140
undecimal (11) 3386a
duodecimal (12) 24400
tridecimal (13) 19392
tetradecimal (14) 13bb2
pentadecimal (15) e790

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵μηϡξʹ
Mayan (base 20)
𝋦·𝋢·𝋨·𝋠
Chinese
四萬八千九百六十
Chinese (financial)
肆萬捌仟玖佰陸拾
In other modern scripts
Eastern Arabic ٤٨٩٦٠ Devanagari ४८९६० Bengali ৪৮৯৬০ Tamil ௪௮௯௬௦ Thai ๔๘๙๖๐ Tibetan ༤༨༩༦༠ Khmer ៤៨៩៦០ Lao ໔໘໙໖໐ Burmese ၄၈၉၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 48,960 = 9
e — Euler's number (e)
Digit 48,960 = 8
φ — Golden ratio (φ)
Digit 48,960 = 4
√2 — Pythagoras's (√2)
Digit 48,960 = 0
ln 2 — Natural log of 2
Digit 48,960 = 3
γ — Euler-Mascheroni (γ)
Digit 48,960 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 48960, here are decompositions:

  • 7 + 48953 = 48960
  • 13 + 48947 = 48960
  • 53 + 48907 = 48960
  • 71 + 48889 = 48960
  • 89 + 48871 = 48960
  • 101 + 48859 = 48960
  • 103 + 48857 = 48960
  • 113 + 48847 = 48960

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Bbo
U+BF40
Other letter (Lo)

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

Hex color
#00BF40
RGB(0, 191, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.191.64.

Address
0.0.191.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.191.64

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

Position in π

The digit sequence 48960 first appears in π at position 1,857 of the decimal expansion (the 1,857ordinal-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.