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42,768

42,768 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
2,688
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
86,724
Recamán's sequence
a(73,056) = 42,768
Square (n²)
1,829,101,824
Cube (n³)
78,227,026,808,832
Divisor count
60
σ(n) — sum of divisors
135,408
φ(n) — Euler's totient
12,960
Sum of prime factors
34

Primality

Prime factorization: 2 4 × 3 5 × 11

Nearest primes: 42,767 (−1) · 42,773 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 48 · 54 · 66 · 72 · 81 · 88 · 99 · 108 · 132 · 144 · 162 · 176 · 198 · 216 · 243 · 264 · 297 · 324 · 396 · 432 · 486 · 528 · 594 · 648 · 792 · 891 · 972 · 1188 · 1296 · 1584 · 1782 · 1944 · 2376 · 2673 · 3564 · 3888 · 4752 · 5346 · 7128 · 10692 · 14256 · 21384 (half) · 42768
Aliquot sum (sum of proper divisors): 92,640
Factor pairs (a × b = 42,768)
1 × 42768
2 × 21384
3 × 14256
4 × 10692
6 × 7128
8 × 5346
9 × 4752
11 × 3888
12 × 3564
16 × 2673
18 × 2376
22 × 1944
24 × 1782
27 × 1584
33 × 1296
36 × 1188
44 × 972
48 × 891
54 × 792
66 × 648
72 × 594
81 × 528
88 × 486
99 × 432
108 × 396
132 × 324
144 × 297
162 × 264
176 × 243
198 × 216
First multiples
42,768 · 85,536 (double) · 128,304 · 171,072 · 213,840 · 256,608 · 299,376 · 342,144 · 384,912 · 427,680

Sums & aliquot sequence

As consecutive integers: 14,255 + 14,256 + 14,257 4,748 + 4,749 + … + 4,756 3,883 + 3,884 + … + 3,893 1,571 + 1,572 + … + 1,597
Aliquot sequence: 42,768 92,640 200,688 336,480 724,944 1,319,568 2,186,160 4,591,680 9,989,952 20,221,824 41,174,016 77,126,208 127,699,392 214,489,408 300,573,824 298,225,846 161,671,130 — unresolved within range

Representations

In words
forty-two thousand seven hundred sixty-eight
Ordinal
42768th
Binary
1010011100010000
Octal
123420
Hexadecimal
0xA710
Base64
pxA=
One's complement
22,767 (16-bit)
In other bases
ternary (3) 2011200000
quaternary (4) 22130100
quinary (5) 2332033
senary (6) 530000
septenary (7) 235455
nonary (9) 64600
undecimal (11) 2a150
duodecimal (12) 20900
tridecimal (13) 1660b
tetradecimal (14) 1182c
pentadecimal (15) ca13

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβψξηʹ
Mayan (base 20)
𝋥·𝋦·𝋲·𝋨
Chinese
四萬二千七百六十八
Chinese (financial)
肆萬貳仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ٤٢٧٦٨ Devanagari ४२७६८ Bengali ৪২৭৬৮ Tamil ௪௨௭௬௮ Thai ๔๒๗๖๘ Tibetan ༤༢༧༦༨ Khmer ៤២៧៦៨ Lao ໔໒໗໖໘ Burmese ၄၂၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 42,768 = 9
e — Euler's number (e)
Digit 42,768 = 6
φ — Golden ratio (φ)
Digit 42,768 = 7
√2 — Pythagoras's (√2)
Digit 42,768 = 3
ln 2 — Natural log of 2
Digit 42,768 = 6
γ — Euler-Mascheroni (γ)
Digit 42,768 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42768, here are decompositions:

  • 17 + 42751 = 42768
  • 31 + 42737 = 42768
  • 41 + 42727 = 42768
  • 59 + 42709 = 42768
  • 67 + 42701 = 42768
  • 71 + 42697 = 42768
  • 79 + 42689 = 42768
  • 101 + 42667 = 42768

Showing the first eight; more decompositions exist.

Unicode codepoint
Modifier Letter Low Dotted Left-Stem Tone Bar
U+A710
Modifier symbol (Sk)

UTF-8 encoding: EA 9C 90 (3 bytes).

Hex color
#00A710
RGB(0, 167, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.167.16.

Address
0.0.167.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.167.16

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

Position in π

The digit sequence 42768 first appears in π at position 17,509 of the decimal expansion (the 17,509ordinal-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.