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40,800

40,800 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
804
Recamán's sequence
a(152,579) = 40,800
Square (n²)
1,664,640,000
Cube (n³)
67,917,312,000,000
Divisor count
72
σ(n) — sum of divisors
140,616
φ(n) — Euler's totient
10,240
Sum of prime factors
40

Primality

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

Nearest primes: 40,787 (−13) · 40,801 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 25 · 30 · 32 · 34 · 40 · 48 · 50 · 51 · 60 · 68 · 75 · 80 · 85 · 96 · 100 · 102 · 120 · 136 · 150 · 160 · 170 · 200 · 204 · 240 · 255 · 272 · 300 · 340 · 400 · 408 · 425 · 480 · 510 · 544 · 600 · 680 · 800 · 816 · 850 · 1020 · 1200 · 1275 · 1360 · 1632 · 1700 · 2040 · 2400 · 2550 · 2720 · 3400 · 4080 · 5100 · 6800 · 8160 · 10200 · 13600 · 20400 (half) · 40800
Aliquot sum (sum of proper divisors): 99,816
Factor pairs (a × b = 40,800)
1 × 40800
2 × 20400
3 × 13600
4 × 10200
5 × 8160
6 × 6800
8 × 5100
10 × 4080
12 × 3400
15 × 2720
16 × 2550
17 × 2400
20 × 2040
24 × 1700
25 × 1632
30 × 1360
32 × 1275
34 × 1200
40 × 1020
48 × 850
50 × 816
51 × 800
60 × 680
68 × 600
75 × 544
80 × 510
85 × 480
96 × 425
100 × 408
102 × 400
120 × 340
136 × 300
150 × 272
160 × 255
170 × 240
200 × 204
First multiples
40,800 · 81,600 (double) · 122,400 · 163,200 · 204,000 · 244,800 · 285,600 · 326,400 · 367,200 · 408,000

Sums & aliquot sequence

As consecutive integers: 13,599 + 13,600 + 13,601 8,158 + 8,159 + 8,160 + 8,161 + 8,162 2,713 + 2,714 + … + 2,727 2,392 + 2,393 + … + 2,408
Aliquot sequence: 40,800 99,816 149,784 229,476 347,548 332,852 315,124 236,350 221,210 213,382 144,458 72,232 63,218 33,130 26,522 13,978 7,802 — unresolved within range

Representations

In words
forty thousand eight hundred
Ordinal
40800th
Binary
1001111101100000
Octal
117540
Hexadecimal
0x9F60
Base64
n2A=
One's complement
24,735 (16-bit)
In other bases
ternary (3) 2001222010
quaternary (4) 21331200
quinary (5) 2301200
senary (6) 512520
septenary (7) 226644
nonary (9) 61863
undecimal (11) 28721
duodecimal (12) 1b740
tridecimal (13) 15756
tetradecimal (14) 10c24
pentadecimal (15) c150

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵μωʹ
Mayan (base 20)
𝋥·𝋢·𝋠·𝋠
Chinese
四萬零八百
Chinese (financial)
肆萬零捌佰
In other modern scripts
Eastern Arabic ٤٠٨٠٠ Devanagari ४०८०० Bengali ৪০৮০০ Tamil ௪௦௮௦௦ Thai ๔๐๘๐๐ Tibetan ༤༠༨༠༠ Khmer ៤០៨០០ Lao ໔໐໘໐໐ Burmese ၄၀၈၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 40,800 = 8
e — Euler's number (e)
Digit 40,800 = 8
φ — Golden ratio (φ)
Digit 40,800 = 3
√2 — Pythagoras's (√2)
Digit 40,800 = 2
ln 2 — Natural log of 2
Digit 40,800 = 0
γ — Euler-Mascheroni (γ)
Digit 40,800 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40800, here are decompositions:

  • 13 + 40787 = 40800
  • 29 + 40771 = 40800
  • 37 + 40763 = 40800
  • 41 + 40759 = 40800
  • 61 + 40739 = 40800
  • 101 + 40699 = 40800
  • 103 + 40697 = 40800
  • 107 + 40693 = 40800

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9F60
U+9F60
Other letter (Lo)

UTF-8 encoding: E9 BD A0 (3 bytes).

Hex color
#009F60
RGB(0, 159, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.159.96.

Address
0.0.159.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.159.96

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

Position in π

The digit sequence 40800 first appears in π at position 8,502 of the decimal expansion (the 8,502ordinal-suffix:nd 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.