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42,408

42,408 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 Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
80,424
Recamán's sequence
a(150,807) = 42,408
Square (n²)
1,798,438,464
Cube (n³)
76,268,178,381,312
Divisor count
48
σ(n) — sum of divisors
124,800
φ(n) — Euler's totient
12,960
Sum of prime factors
62

Primality

Prime factorization: 2 3 × 3 2 × 19 × 31

Nearest primes: 42,407 (−1) · 42,409 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 31 · 36 · 38 · 57 · 62 · 72 · 76 · 93 · 114 · 124 · 152 · 171 · 186 · 228 · 248 · 279 · 342 · 372 · 456 · 558 · 589 · 684 · 744 · 1116 · 1178 · 1368 · 1767 · 2232 · 2356 · 3534 · 4712 · 5301 · 7068 · 10602 · 14136 · 21204 (half) · 42408
Aliquot sum (sum of proper divisors): 82,392
Factor pairs (a × b = 42,408)
1 × 42408
2 × 21204
3 × 14136
4 × 10602
6 × 7068
8 × 5301
9 × 4712
12 × 3534
18 × 2356
19 × 2232
24 × 1767
31 × 1368
36 × 1178
38 × 1116
57 × 744
62 × 684
72 × 589
76 × 558
93 × 456
114 × 372
124 × 342
152 × 279
171 × 248
186 × 228
First multiples
42,408 · 84,816 (double) · 127,224 · 169,632 · 212,040 · 254,448 · 296,856 · 339,264 · 381,672 · 424,080

Sums & aliquot sequence

As consecutive integers: 14,135 + 14,136 + 14,137 4,708 + 4,709 + … + 4,716 2,643 + 2,644 + … + 2,658 2,223 + 2,224 + … + 2,241
Aliquot sequence: 42,408 82,392 123,648 268,800 746,016 1,320,384 2,612,552 2,455,348 2,455,404 4,092,564 6,971,244 12,129,684 20,424,684 37,249,044 67,314,156 126,001,428 224,556,780 — unresolved within range

Representations

In words
forty-two thousand four hundred eight
Ordinal
42408th
Binary
1010010110101000
Octal
122650
Hexadecimal
0xA5A8
Base64
pag=
One's complement
23,127 (16-bit)
In other bases
ternary (3) 2011011200
quaternary (4) 22112220
quinary (5) 2324113
senary (6) 524200
septenary (7) 234432
nonary (9) 64150
undecimal (11) 29953
duodecimal (12) 20660
tridecimal (13) 163c2
tetradecimal (14) 11652
pentadecimal (15) c873

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβυηʹ
Mayan (base 20)
𝋥·𝋦·𝋠·𝋨
Chinese
四萬二千四百零八
Chinese (financial)
肆萬貳仟肆佰零捌
In other modern scripts
Eastern Arabic ٤٢٤٠٨ Devanagari ४२४०८ Bengali ৪২৪০৮ Tamil ௪௨௪௦௮ Thai ๔๒๔๐๘ Tibetan ༤༢༤༠༨ Khmer ៤២៤០៨ Lao ໔໒໔໐໘ Burmese ၄၂၄၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 42,408 = 1
e — Euler's number (e)
Digit 42,408 = 5
φ — Golden ratio (φ)
Digit 42,408 = 1
√2 — Pythagoras's (√2)
Digit 42,408 = 3
ln 2 — Natural log of 2
Digit 42,408 = 8
γ — Euler-Mascheroni (γ)
Digit 42,408 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42408, here are decompositions:

  • 5 + 42403 = 42408
  • 11 + 42397 = 42408
  • 17 + 42391 = 42408
  • 29 + 42379 = 42408
  • 59 + 42349 = 42408
  • 71 + 42337 = 42408
  • 101 + 42307 = 42408
  • 109 + 42299 = 42408

Showing the first eight; more decompositions exist.

Unicode codepoint
Vai Syllable Lu
U+A5A8
Other letter (Lo)

UTF-8 encoding: EA 96 A8 (3 bytes).

Hex color
#00A5A8
RGB(0, 165, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.165.168.

Address
0.0.165.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.165.168

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000042408
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 42408 first appears in π at position 160,451 of the decimal expansion (the 160,451ordinal-suffix:st 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.