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42,288

42,288 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.).

42,288 (forty-two thousand two hundred eighty-eight) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 881. Its proper divisors sum to 67,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA530.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
1,024
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
88,224
Recamán's sequence
a(151,047) = 42,288
Square (n²)
1,788,274,944
Cube (n³)
75,622,570,831,872
Divisor count
20
σ(n) — sum of divisors
109,368
φ(n) — Euler's totient
14,080
Sum of prime factors
892

Primality

Prime factorization: 2 4 × 3 × 881

Nearest primes: 42,283 (−5) · 42,293 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 881 · 1762 · 2643 · 3524 · 5286 · 7048 · 10572 · 14096 · 21144 (half) · 42288
Aliquot sum (sum of proper divisors): 67,080
Factor pairs (a × b = 42,288)
1 × 42288
2 × 21144
3 × 14096
4 × 10572
6 × 7048
8 × 5286
12 × 3524
16 × 2643
24 × 1762
48 × 881
First multiples
42,288 · 84,576 (double) · 126,864 · 169,152 · 211,440 · 253,728 · 296,016 · 338,304 · 380,592 · 422,880

Sums & aliquot sequence

As consecutive integers: 14,095 + 14,096 + 14,097 1,306 + 1,307 + … + 1,337 393 + 394 + … + 488
Aliquot sequence: 42,288 67,080 154,680 309,720 662,280 1,324,920 2,737,320 5,475,000 11,867,640 23,735,640 48,033,960 111,149,400 255,445,440 555,596,880 1,257,144,240 3,131,717,712 5,659,148,208 — unresolved within range

Continued fraction of √n

√42,288 = [205; (1, 1, 1, 3, 1, 1, 2, 1, 8, 1, 1, 1, 2, 4, 1, 1, 12, 3, 3, 7, 1, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand two hundred eighty-eight
Ordinal
42288th
Binary
1010010100110000
Octal
122460
Hexadecimal
0xA530
Base64
pTA=
One's complement
23,247 (16-bit)
Scientific notation
4.2288 × 10⁴
As a duration
42,288 s = 11 hours, 44 minutes, 48 seconds
In other bases
ternary (3) 2011000020
quaternary (4) 22110300
quinary (5) 2323123
senary (6) 523440
septenary (7) 234201
nonary (9) 64006
undecimal (11) 29854
duodecimal (12) 20580
tridecimal (13) 1632c
tetradecimal (14) 115a8
pentadecimal (15) c7e3

As an angle

42,288° = 117 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβσπηʹ
Mayan (base 20)
𝋥·𝋥·𝋮·𝋨
Chinese
四萬二千二百八十八
Chinese (financial)
肆萬貳仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ٤٢٢٨٨ Devanagari ४२२८८ Bengali ৪২২৮৮ Tamil ௪௨௨௮௮ Thai ๔๒๒๘๘ Tibetan ༤༢༢༨༨ Khmer ៤២២៨៨ Lao ໔໒໒໘໘ Burmese ၄၂၂၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 42,288 = 5
e — Euler's number (e)
Digit 42,288 = 5
φ — Golden ratio (φ)
Digit 42,288 = 2
√2 — Pythagoras's (√2)
Digit 42,288 = 2
ln 2 — Natural log of 2
Digit 42,288 = 1
γ — Euler-Mascheroni (γ)
Digit 42,288 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42288, here are decompositions:

  • 5 + 42283 = 42288
  • 7 + 42281 = 42288
  • 31 + 42257 = 42288
  • 61 + 42227 = 42288
  • 67 + 42221 = 42288
  • 79 + 42209 = 42288
  • 101 + 42187 = 42288
  • 107 + 42181 = 42288

Showing the first eight; more decompositions exist.

Unicode codepoint
Vai Syllable Gbi
U+A530
Other letter (Lo)

UTF-8 encoding: EA 94 B0 (3 bytes).

Hex color
#00A530
RGB(0, 165, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.165.48.

Address
0.0.165.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.165.48

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

Position in π

The digit sequence 42288 first appears in π at position 4,607 of the decimal expansion (the 4,607ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.