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Number

48,761

48,761 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
1,344
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
16,784
Recamán's sequence
a(15,186) = 48,761
Square (n²)
2,377,635,121
Cube (n³)
115,935,866,135,081
Divisor count
2
σ(n) — sum of divisors
48,762
φ(n) — Euler's totient
48,760

Primality

48,761 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 48761
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 48,761)
1 × 48761
First multiples
48,761 · 97,522 (double) · 146,283 · 195,044 · 243,805 · 292,566 · 341,327 · 390,088 · 438,849 · 487,610

Sums & aliquot sequence

As a sum of two squares: 19² + 220²
As consecutive integers: 24,380 + 24,381

Representations

In words
forty-eight thousand seven hundred sixty-one
Ordinal
48761st
Binary
1011111001111001
Octal
137171
Hexadecimal
0xBE79
Base64
vnk=
One's complement
16,774 (16-bit)
In other bases
ternary (3) 2110212222
quaternary (4) 23321321
quinary (5) 3030021
senary (6) 1013425
septenary (7) 262106
nonary (9) 73788
undecimal (11) 336a9
duodecimal (12) 24275
tridecimal (13) 1926b
tetradecimal (14) 13aad
pentadecimal (15) e6ab

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵μηψξαʹ
Mayan (base 20)
𝋦·𝋡·𝋲·𝋡
Chinese
四萬八千七百六十一
Chinese (financial)
肆萬捌仟柒佰陸拾壹
In other modern scripts
Eastern Arabic ٤٨٧٦١ Devanagari ४८७६१ Bengali ৪৮৭৬১ Tamil ௪௮௭௬௧ Thai ๔๘๗๖๑ Tibetan ༤༨༧༦༡ Khmer ៤៨៧៦១ Lao ໔໘໗໖໑ Burmese ၄၈၇၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 48,761 = 8
e — Euler's number (e)
Digit 48,761 = 3
φ — Golden ratio (φ)
Digit 48,761 = 3
√2 — Pythagoras's (√2)
Digit 48,761 = 8
ln 2 — Natural log of 2
Digit 48,761 = 2
γ — Euler-Mascheroni (γ)
Digit 48,761 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 48,757 (gap of 4)
  • Next prime: 48,767 (gap of 6)

Pair status: cousin with 48757, sexy with 48767.

Unicode codepoint
Hangul Syllable Bbat
U+BE79
Other letter (Lo)

UTF-8 encoding: EB B9 B9 (3 bytes).

Hex color
#00BE79
RGB(0, 190, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.190.121.

Address
0.0.190.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.190.121

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
000048761
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 48761 first appears in π at position 135,752 of the decimal expansion (the 135,752ordinal-suffix:nd 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.