number.wiki
Number

26,189

26,189 is a prime, odd.

26,189 (twenty-six thousand one hundred eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x664D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
864
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
98,162
Square (n²)
685,863,721
Cube (n³)
17,962,084,989,269
Divisor count
2
σ(n) — sum of divisors
26,190
φ(n) — Euler's totient
26,188

Primality

26,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 26189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 26,189)
1 × 26189
First multiples
26,189 · 52,378 (double) · 78,567 · 104,756 · 130,945 · 157,134 · 183,323 · 209,512 · 235,701 · 261,890

Sums & aliquot sequence

As a sum of two squares: 35² + 158²
As consecutive integers: 13,094 + 13,095

Continued fraction of √n

√26,189 = [161; (1, 4, 1, 7, 1, 10, 1, 2, 18, 1, 2, 3, 2, 7, 2, 5, 1, 1, 1, 3, 3, 1, 63, 1, …)]

Representations

In words
twenty-six thousand one hundred eighty-nine
Ordinal
26189th
Binary
110011001001101
Octal
63115
Hexadecimal
0x664D
Base64
Zk0=
One's complement
39,346 (16-bit)
Scientific notation
2.6189 × 10⁴
As a duration
26,189 s = 7 hours, 16 minutes, 29 seconds
In other bases
ternary (3) 1022220222
quaternary (4) 12121031
quinary (5) 1314224
senary (6) 321125
septenary (7) 136232
nonary (9) 38828
undecimal (11) 18749
duodecimal (12) 131a5
tridecimal (13) bbc7
tetradecimal (14) 9789
pentadecimal (15) 7b5e

As an angle

26,189° = 72 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κϛρπθʹ
Mayan (base 20)
𝋣·𝋥·𝋩·𝋩
Chinese
二萬六千一百八十九
Chinese (financial)
貳萬陸仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ٢٦١٨٩ Devanagari २६१८९ Bengali ২৬১৮৯ Tamil ௨௬௧௮௯ Thai ๒๖๑๘๙ Tibetan ༢༦༡༨༩ Khmer ២៦១៨៩ Lao ໒໖໑໘໙ Burmese ၂၆၁၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 26,189 = 4
e — Euler's number (e)
Digit 26,189 = 0
φ — Golden ratio (φ)
Digit 26,189 = 9
√2 — Pythagoras's (√2)
Digit 26,189 = 0
ln 2 — Natural log of 2
Digit 26,189 = 4
γ — Euler-Mascheroni (γ)
Digit 26,189 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 26,183 (gap of 6)
  • Next prime: 26,203 (gap of 14)

Pair status: sexy with 26183.

Unicode codepoint
CJK Unified Ideograph-664D
U+664D
Other letter (Lo)

UTF-8 encoding: E6 99 8D (3 bytes).

Hex color
#00664D
RGB(0, 102, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.102.77.

Address
0.0.102.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.102.77

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

Position in π

The digit sequence 26189 first appears in π at position 47,848 of the decimal expansion (the 47,848ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.