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42,880

42,880 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.).

42,880 (forty-two thousand eight hundred eighty) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 67. Its proper divisors sum to 61,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA780.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
8,824
Recamán's sequence
a(72,832) = 42,880
Square (n²)
1,838,694,400
Cube (n³)
78,843,215,872,000
Divisor count
32
σ(n) — sum of divisors
104,040
φ(n) — Euler's totient
16,896
Sum of prime factors
86

Primality

Prime factorization: 2 7 × 5 × 67

Nearest primes: 42,863 (−17) · 42,899 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 67 · 80 · 128 · 134 · 160 · 268 · 320 · 335 · 536 · 640 · 670 · 1072 · 1340 · 2144 · 2680 · 4288 · 5360 · 8576 · 10720 · 21440 (half) · 42880
Aliquot sum (sum of proper divisors): 61,160
Factor pairs (a × b = 42,880)
1 × 42880
2 × 21440
4 × 10720
5 × 8576
8 × 5360
10 × 4288
16 × 2680
20 × 2144
32 × 1340
40 × 1072
64 × 670
67 × 640
80 × 536
128 × 335
134 × 320
160 × 268
First multiples
42,880 · 85,760 (double) · 128,640 · 171,520 · 214,400 · 257,280 · 300,160 · 343,040 · 385,920 · 428,800

Sums & aliquot sequence

As consecutive integers: 8,574 + 8,575 + 8,576 + 8,577 + 8,578 607 + 608 + … + 673 40 + 41 + … + 295
Aliquot sequence: 42,880 61,160 90,040 112,640 182,200 241,880 302,440 378,140 566,692 599,452 619,108 619,164 1,414,140 3,680,292 7,236,348 12,192,516 23,031,036 — unresolved within range

Continued fraction of √n

√42,880 = [207; (13, 2, 1, 3, 1, 45, 4, 2, 1, 25, 5, 4, 1, 10, 1, 2, 3, 2, 1, 1, 2, 1, 3, 103, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand eight hundred eighty
Ordinal
42880th
Binary
1010011110000000
Octal
123600
Hexadecimal
0xA780
Base64
p4A=
One's complement
22,655 (16-bit)
Scientific notation
4.288 × 10⁴
As a duration
42,880 s = 11 hours, 54 minutes, 40 seconds
In other bases
ternary (3) 2011211011
quaternary (4) 22132000
quinary (5) 2333010
senary (6) 530304
septenary (7) 236005
nonary (9) 64734
undecimal (11) 2a242
duodecimal (12) 20994
tridecimal (13) 16696
tetradecimal (14) 118ac
pentadecimal (15) ca8a

As an angle

42,880° = 119 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵μβωπʹ
Mayan (base 20)
𝋥·𝋧·𝋤·𝋠
Chinese
四萬二千八百八十
Chinese (financial)
肆萬貳仟捌佰捌拾
In other modern scripts
Eastern Arabic ٤٢٨٨٠ Devanagari ४२८८० Bengali ৪২৮৮০ Tamil ௪௨௮௮௦ Thai ๔๒๘๘๐ Tibetan ༤༢༨༨༠ Khmer ៤២៨៨០ Lao ໔໒໘໘໐ Burmese ၄၂၈၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 42,880 = 4
e — Euler's number (e)
Digit 42,880 = 3
φ — Golden ratio (φ)
Digit 42,880 = 6
√2 — Pythagoras's (√2)
Digit 42,880 = 5
ln 2 — Natural log of 2
Digit 42,880 = 1
γ — Euler-Mascheroni (γ)
Digit 42,880 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42880, here are decompositions:

  • 17 + 42863 = 42880
  • 41 + 42839 = 42880
  • 59 + 42821 = 42880
  • 83 + 42797 = 42880
  • 107 + 42773 = 42880
  • 113 + 42767 = 42880
  • 137 + 42743 = 42880
  • 179 + 42701 = 42880

Showing the first eight; more decompositions exist.

Unicode codepoint
Latin Capital Letter Turned L
U+A780
Uppercase letter (Lu)

UTF-8 encoding: EA 9E 80 (3 bytes).

Hex color
#00A780
RGB(0, 167, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.167.128.

Address
0.0.167.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.167.128

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

Position in π

The digit sequence 42880 first appears in π at position 9,913 of the decimal expansion (the 9,913ordinal-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.

Related reading