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51,840

51,840 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 Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
4,815
Recamán's sequence
a(62,136) = 51,840
Square (n²)
2,687,385,600
Cube (n³)
139,314,069,504,000
Divisor count
80
σ(n) — sum of divisors
185,130
φ(n) — Euler's totient
13,824
Sum of prime factors
31

Primality

Prime factorization: 2 7 × 3 4 × 5

Nearest primes: 51,839 (−1) · 51,853 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 60 · 64 · 72 · 80 · 81 · 90 · 96 · 108 · 120 · 128 · 135 · 144 · 160 · 162 · 180 · 192 · 216 · 240 · 270 · 288 · 320 · 324 · 360 · 384 · 405 · 432 · 480 · 540 · 576 · 640 · 648 · 720 · 810 · 864 · 960 · 1080 · 1152 · 1296 · 1440 · 1620 · 1728 · 1920 · 2160 · 2592 · 2880 · 3240 · 3456 · 4320 · 5184 · 5760 · 6480 · 8640 · 10368 · 12960 · 17280 · 25920 (half) · 51840
Aliquot sum (sum of proper divisors): 133,290
Factor pairs (a × b = 51,840)
1 × 51840
2 × 25920
3 × 17280
4 × 12960
5 × 10368
6 × 8640
8 × 6480
9 × 5760
10 × 5184
12 × 4320
15 × 3456
16 × 3240
18 × 2880
20 × 2592
24 × 2160
27 × 1920
30 × 1728
32 × 1620
36 × 1440
40 × 1296
45 × 1152
48 × 1080
54 × 960
60 × 864
64 × 810
72 × 720
80 × 648
81 × 640
90 × 576
96 × 540
108 × 480
120 × 432
128 × 405
135 × 384
144 × 360
160 × 324
162 × 320
180 × 288
192 × 270
216 × 240
First multiples
51,840 · 103,680 (double) · 155,520 · 207,360 · 259,200 · 311,040 · 362,880 · 414,720 · 466,560 · 518,400

Sums & aliquot sequence

As a sum of two squares: 72² + 216²
As consecutive integers: 17,279 + 17,280 + 17,281 10,366 + 10,367 + 10,368 + 10,369 + 10,370 5,756 + 5,757 + … + 5,764 3,449 + 3,450 + … + 3,463
Aliquot sequence: 51,840 133,290 213,498 266,202 336,582 446,778 521,280 1,281,612 1,708,844 1,378,324 1,153,996 865,504 1,030,544 1,035,916 1,035,972 1,957,564 1,992,004 — unresolved within range

Representations

In words
fifty-one thousand eight hundred forty
Ordinal
51840th
Binary
1100101010000000
Octal
145200
Hexadecimal
0xCA80
Base64
yoA=
One's complement
13,695 (16-bit)
In other bases
ternary (3) 2122010000
quaternary (4) 30222000
quinary (5) 3124330
senary (6) 1040000
septenary (7) 304065
nonary (9) 78100
undecimal (11) 35a48
duodecimal (12) 26000
tridecimal (13) 1a799
tetradecimal (14) 14c6c
pentadecimal (15) 10560

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ναωμʹ
Mayan (base 20)
𝋦·𝋩·𝋬·𝋠
Chinese
五萬一千八百四十
Chinese (financial)
伍萬壹仟捌佰肆拾
In other modern scripts
Eastern Arabic ٥١٨٤٠ Devanagari ५१८४० Bengali ৫১৮৪০ Tamil ௫௧௮௪௦ Thai ๕๑๘๔๐ Tibetan ༥༡༨༤༠ Khmer ៥១៨៤០ Lao ໕໑໘໔໐ Burmese ၅၁၈၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 51,840 = 3
e — Euler's number (e)
Digit 51,840 = 4
φ — Golden ratio (φ)
Digit 51,840 = 2
√2 — Pythagoras's (√2)
Digit 51,840 = 2
ln 2 — Natural log of 2
Digit 51,840 = 2
γ — Euler-Mascheroni (γ)
Digit 51,840 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 51840, here are decompositions:

  • 11 + 51829 = 51840
  • 13 + 51827 = 51840
  • 23 + 51817 = 51840
  • 37 + 51803 = 51840
  • 43 + 51797 = 51840
  • 53 + 51787 = 51840
  • 71 + 51769 = 51840
  • 73 + 51767 = 51840

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Jjek
U+CA80
Other letter (Lo)

UTF-8 encoding: EC AA 80 (3 bytes).

Hex color
#00CA80
RGB(0, 202, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.202.128.

Address
0.0.202.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.202.128

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

Position in π

The digit sequence 51840 first appears in π at position 115,519 of the decimal expansion (the 115,519ordinal-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.