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52,164

52,164 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 Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
240
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
46,125
Recamán's sequence
a(17,780) = 52,164
Square (n²)
2,721,082,896
Cube (n³)
141,942,568,186,944
Divisor count
60
σ(n) — sum of divisors
162,624
φ(n) — Euler's totient
14,256
Sum of prime factors
46

Primality

Prime factorization: 2 2 × 3 4 × 7 × 23

Nearest primes: 52,163 (−1) · 52,177 (+13)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 23 · 27 · 28 · 36 · 42 · 46 · 54 · 63 · 69 · 81 · 84 · 92 · 108 · 126 · 138 · 161 · 162 · 189 · 207 · 252 · 276 · 322 · 324 · 378 · 414 · 483 · 567 · 621 · 644 · 756 · 828 · 966 · 1134 · 1242 · 1449 · 1863 · 1932 · 2268 · 2484 · 2898 · 3726 · 4347 · 5796 · 7452 · 8694 · 13041 · 17388 · 26082 (half) · 52164
Aliquot sum (sum of proper divisors): 110,460
Factor pairs (a × b = 52,164)
1 × 52164
2 × 26082
3 × 17388
4 × 13041
6 × 8694
7 × 7452
9 × 5796
12 × 4347
14 × 3726
18 × 2898
21 × 2484
23 × 2268
27 × 1932
28 × 1863
36 × 1449
42 × 1242
46 × 1134
54 × 966
63 × 828
69 × 756
81 × 644
84 × 621
92 × 567
108 × 483
126 × 414
138 × 378
161 × 324
162 × 322
189 × 276
207 × 252
First multiples
52,164 · 104,328 (double) · 156,492 · 208,656 · 260,820 · 312,984 · 365,148 · 417,312 · 469,476 · 521,640

Sums & aliquot sequence

As consecutive integers: 17,387 + 17,388 + 17,389 7,449 + 7,450 + … + 7,455 6,517 + 6,518 + … + 6,524 5,792 + 5,793 + … + 5,800
Aliquot sequence: 52,164 110,460 244,356 407,484 936,516 1,561,084 1,592,836 1,621,564 1,735,076 1,735,132 1,848,868 1,915,298 1,666,846 857,114 428,560 660,656 632,416 — unresolved within range

Representations

In words
fifty-two thousand one hundred sixty-four
Ordinal
52164th
Binary
1100101111000100
Octal
145704
Hexadecimal
0xCBC4
Base64
y8Q=
One's complement
13,371 (16-bit)
In other bases
ternary (3) 2122120000
quaternary (4) 30233010
quinary (5) 3132124
senary (6) 1041300
septenary (7) 305040
nonary (9) 78500
undecimal (11) 36212
duodecimal (12) 26230
tridecimal (13) 1a988
tetradecimal (14) 15020
pentadecimal (15) 106c9

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νβρξδʹ
Mayan (base 20)
𝋦·𝋪·𝋨·𝋤
Chinese
五萬二千一百六十四
Chinese (financial)
伍萬貳仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٥٢١٦٤ Devanagari ५२१६४ Bengali ৫২১৬৪ Tamil ௫௨௧௬௪ Thai ๕๒๑๖๔ Tibetan ༥༢༡༦༤ Khmer ៥២១៦៤ Lao ໕໒໑໖໔ Burmese ၅၂၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 52,164 = 1
e — Euler's number (e)
Digit 52,164 = 7
φ — Golden ratio (φ)
Digit 52,164 = 9
√2 — Pythagoras's (√2)
Digit 52,164 = 6
ln 2 — Natural log of 2
Digit 52,164 = 3
γ — Euler-Mascheroni (γ)
Digit 52,164 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 52164, here are decompositions:

  • 11 + 52153 = 52164
  • 17 + 52147 = 52164
  • 37 + 52127 = 52164
  • 43 + 52121 = 52164
  • 61 + 52103 = 52164
  • 83 + 52081 = 52164
  • 97 + 52067 = 52164
  • 107 + 52057 = 52164

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Jjyuls
U+CBC4
Other letter (Lo)

UTF-8 encoding: EC AF 84 (3 bytes).

Hex color
#00CBC4
RGB(0, 203, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.203.196.

Address
0.0.203.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.203.196

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

Position in π

The digit sequence 52164 first appears in π at position 7,561 of the decimal expansion (the 7,561ordinal-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.