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46,656

46,656 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 Harshad / Niven Perfect Cube Perfect Square Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
4,320
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
65,664
Recamán's sequence
a(14,144) = 46,656
Square (n²)
2,176,782,336
Cube (n³)
101,559,956,668,416
Square root (√n)
216
Cube root (∛n)
36
Divisor count
49
σ(n) — sum of divisors
138,811
φ(n) — Euler's totient
15,552
Sum of prime factors
30

Primality

Prime factorization: 2 6 × 3 6

Nearest primes: 46,649 (−7) · 46,663 (+7)

Divisors & multiples

All divisors (49)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 81 · 96 · 108 · 144 · 162 · 192 · 216 · 243 · 288 · 324 · 432 · 486 · 576 · 648 · 729 · 864 · 972 · 1296 · 1458 · 1728 · 1944 · 2592 · 2916 · 3888 · 5184 · 5832 · 7776 · 11664 · 15552 · 23328 (half) · 46656
Aliquot sum (sum of proper divisors): 92,155
Factor pairs (a × b = 46,656)
1 × 46656
2 × 23328
3 × 15552
4 × 11664
6 × 7776
8 × 5832
9 × 5184
12 × 3888
16 × 2916
18 × 2592
24 × 1944
27 × 1728
32 × 1458
36 × 1296
48 × 972
54 × 864
64 × 729
72 × 648
81 × 576
96 × 486
108 × 432
144 × 324
162 × 288
192 × 243
216 × 216
First multiples
46,656 · 93,312 (double) · 139,968 · 186,624 · 233,280 · 279,936 · 326,592 · 373,248 · 419,904 · 466,560

Sums & aliquot sequence

As a sum of two squares: 0² + 216²
As consecutive integers: 15,551 + 15,552 + 15,553 5,180 + 5,181 + … + 5,188 1,715 + 1,716 + … + 1,741 536 + 537 + … + 616
Aliquot sequence: 46,656 92,155 34,277 379 1 0 — terminates at zero

Representations

In words
forty-six thousand six hundred fifty-six
Ordinal
46656th
Binary
1011011001000000
Octal
133100
Hexadecimal
0xB640
Base64
tkA=
One's complement
18,879 (16-bit)
In other bases
ternary (3) 2101000000
quaternary (4) 23121000
quinary (5) 2443111
senary (6) 1000000
septenary (7) 253011
nonary (9) 71000
undecimal (11) 32065
duodecimal (12) 23000
tridecimal (13) 1830c
tetradecimal (14) 13008
pentadecimal (15) dc56

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μϛχνϛʹ
Mayan (base 20)
𝋥·𝋰·𝋬·𝋰
Chinese
四萬六千六百五十六
Chinese (financial)
肆萬陸仟陸佰伍拾陸
In other modern scripts
Eastern Arabic ٤٦٦٥٦ Devanagari ४६६५६ Bengali ৪৬৬৫৬ Tamil ௪௬௬௫௬ Thai ๔๖๖๕๖ Tibetan ༤༦༦༥༦ Khmer ៤៦៦៥៦ Lao ໔໖໖໕໖ Burmese ၄၆၆၅၆

Digit at this position in famous constants

π — Pi (π)
Digit 46,656 = 4
e — Euler's number (e)
Digit 46,656 = 2
φ — Golden ratio (φ)
Digit 46,656 = 6
√2 — Pythagoras's (√2)
Digit 46,656 = 4
ln 2 — Natural log of 2
Digit 46,656 = 6
γ — Euler-Mascheroni (γ)
Digit 46,656 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 46656, here are decompositions:

  • 7 + 46649 = 46656
  • 13 + 46643 = 46656
  • 17 + 46639 = 46656
  • 23 + 46633 = 46656
  • 37 + 46619 = 46656
  • 67 + 46589 = 46656
  • 83 + 46573 = 46656
  • 89 + 46567 = 46656

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Ddwass
U+B640
Other letter (Lo)

UTF-8 encoding: EB 99 80 (3 bytes).

Hex color
#00B640
RGB(0, 182, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.182.64.

Address
0.0.182.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.182.64

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

Position in π

The digit sequence 46656 first appears in π at position 174,043 of the decimal expansion (the 174,043ordinal-suffix:rd 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.