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40,768

40,768 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 Heptagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
86,704
Recamán's sequence
a(152,643) = 40,768
Square (n²)
1,662,029,824
Cube (n³)
67,757,631,864,832
Divisor count
42
σ(n) — sum of divisors
101,346
φ(n) — Euler's totient
16,128
Sum of prime factors
39

Primality

Prime factorization: 2 6 × 7 2 × 13

Nearest primes: 40,763 (−5) · 40,771 (+3)

Divisors & multiples

All divisors (42)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 49 · 52 · 56 · 64 · 91 · 98 · 104 · 112 · 182 · 196 · 208 · 224 · 364 · 392 · 416 · 448 · 637 · 728 · 784 · 832 · 1274 · 1456 · 1568 · 2548 · 2912 · 3136 · 5096 · 5824 · 10192 · 20384 (half) · 40768
Aliquot sum (sum of proper divisors): 60,578
Factor pairs (a × b = 40,768)
1 × 40768
2 × 20384
4 × 10192
7 × 5824
8 × 5096
13 × 3136
14 × 2912
16 × 2548
26 × 1568
28 × 1456
32 × 1274
49 × 832
52 × 784
56 × 728
64 × 637
91 × 448
98 × 416
104 × 392
112 × 364
182 × 224
196 × 208
First multiples
40,768 · 81,536 (double) · 122,304 · 163,072 · 203,840 · 244,608 · 285,376 · 326,144 · 366,912 · 407,680

Sums & aliquot sequence

As a sum of two squares: 112² + 168²
As consecutive integers: 5,821 + 5,822 + … + 5,827 3,130 + 3,131 + … + 3,142 808 + 809 + … + 856 403 + 404 + … + 493
Aliquot sequence: 40,768 60,578 43,294 21,650 18,712 16,388 14,104 13,616 14,656 14,554 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Representations

In words
forty thousand seven hundred sixty-eight
Ordinal
40768th
Binary
1001111101000000
Octal
117500
Hexadecimal
0x9F40
Base64
n0A=
One's complement
24,767 (16-bit)
In other bases
ternary (3) 2001220221
quaternary (4) 21331000
quinary (5) 2301033
senary (6) 512424
septenary (7) 226600
nonary (9) 61827
undecimal (11) 286a2
duodecimal (12) 1b714
tridecimal (13) 15730
tetradecimal (14) 10c00
pentadecimal (15) c12d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μψξηʹ
Mayan (base 20)
𝋥·𝋡·𝋲·𝋨
Chinese
四萬零七百六十八
Chinese (financial)
肆萬零柒佰陸拾捌
In other modern scripts
Eastern Arabic ٤٠٧٦٨ Devanagari ४०७६८ Bengali ৪০৭৬৮ Tamil ௪௦௭௬௮ Thai ๔๐๗๖๘ Tibetan ༤༠༧༦༨ Khmer ៤០៧៦៨ Lao ໔໐໗໖໘ Burmese ၄၀၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 40,768 = 7
e — Euler's number (e)
Digit 40,768 = 7
φ — Golden ratio (φ)
Digit 40,768 = 7
√2 — Pythagoras's (√2)
Digit 40,768 = 7
ln 2 — Natural log of 2
Digit 40,768 = 3
γ — Euler-Mascheroni (γ)
Digit 40,768 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40768, here are decompositions:

  • 5 + 40763 = 40768
  • 17 + 40751 = 40768
  • 29 + 40739 = 40768
  • 59 + 40709 = 40768
  • 71 + 40697 = 40768
  • 131 + 40637 = 40768
  • 191 + 40577 = 40768
  • 239 + 40529 = 40768

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9F40
U+9F40
Other letter (Lo)

UTF-8 encoding: E9 BD 80 (3 bytes).

Hex color
#009F40
RGB(0, 159, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.159.64.

Address
0.0.159.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.159.64

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

Position in π

The digit sequence 40768 first appears in π at position 59,720 of the decimal expansion (the 59,720ordinal-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.