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40,772

40,772 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
27,704
Recamán's sequence
a(152,635) = 40,772
Square (n²)
1,662,355,984
Cube (n³)
67,777,578,179,648
Divisor count
6
σ(n) — sum of divisors
71,358
φ(n) — Euler's totient
20,384
Sum of prime factors
10,197

Primality

Prime factorization: 2 2 × 10193

Nearest primes: 40,771 (−1) · 40,787 (+15)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 10193 · 20386 (half) · 40772
Aliquot sum (sum of proper divisors): 30,586
Factor pairs (a × b = 40,772)
1 × 40772
2 × 20386
4 × 10193
First multiples
40,772 · 81,544 (double) · 122,316 · 163,088 · 203,860 · 244,632 · 285,404 · 326,176 · 366,948 · 407,720

Sums & aliquot sequence

As a sum of two squares: 56² + 194²
As consecutive integers: 5,093 + 5,094 + … + 5,100
Aliquot sequence: 40,772 30,586 16,538 8,272 9,584 9,016 11,504 10,816 12,425 5,431 1 0 — terminates at zero

Representations

In words
forty thousand seven hundred seventy-two
Ordinal
40772nd
Binary
1001111101000100
Octal
117504
Hexadecimal
0x9F44
Base64
n0Q=
One's complement
24,763 (16-bit)
In other bases
ternary (3) 2001221002
quaternary (4) 21331010
quinary (5) 2301042
senary (6) 512432
septenary (7) 226604
nonary (9) 61832
undecimal (11) 286a6
duodecimal (12) 1b718
tridecimal (13) 15734
tetradecimal (14) 10c04
pentadecimal (15) c132

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵μψοβʹ
Mayan (base 20)
𝋥·𝋡·𝋲·𝋬
Chinese
四萬零七百七十二
Chinese (financial)
肆萬零柒佰柒拾貳
In other modern scripts
Eastern Arabic ٤٠٧٧٢ Devanagari ४०७७२ Bengali ৪০৭৭২ Tamil ௪௦௭௭௨ Thai ๔๐๗๗๒ Tibetan ༤༠༧༧༢ Khmer ៤០៧៧២ Lao ໔໐໗໗໒ Burmese ၄၀၇၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 40,772 = 4
e — Euler's number (e)
Digit 40,772 = 0
φ — Golden ratio (φ)
Digit 40,772 = 5
√2 — Pythagoras's (√2)
Digit 40,772 = 9
ln 2 — Natural log of 2
Digit 40,772 = 3
γ — Euler-Mascheroni (γ)
Digit 40,772 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40772, here are decompositions:

  • 13 + 40759 = 40772
  • 73 + 40699 = 40772
  • 79 + 40693 = 40772
  • 163 + 40609 = 40772
  • 181 + 40591 = 40772
  • 229 + 40543 = 40772
  • 241 + 40531 = 40772
  • 313 + 40459 = 40772

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9F44
U+9F44
Other letter (Lo)

UTF-8 encoding: E9 BD 84 (3 bytes).

Hex color
#009F44
RGB(0, 159, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.159.68.

Address
0.0.159.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.159.68

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
000040772
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 40772 first appears in π at position 2,047 of the decimal expansion (the 2,047ordinal-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.