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40,264

40,264 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 Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
46,204
Square (n²)
1,621,189,696
Cube (n³)
65,275,581,919,744
Divisor count
16
σ(n) — sum of divisors
86,400
φ(n) — Euler's totient
17,232
Sum of prime factors
732

Primality

Prime factorization: 2 3 × 7 × 719

Nearest primes: 40,253 (−11) · 40,277 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 719 · 1438 · 2876 · 5033 · 5752 · 10066 · 20132 (half) · 40264
Aliquot sum (sum of proper divisors): 46,136
Factor pairs (a × b = 40,264)
1 × 40264
2 × 20132
4 × 10066
7 × 5752
8 × 5033
14 × 2876
28 × 1438
56 × 719
First multiples
40,264 · 80,528 (double) · 120,792 · 161,056 · 201,320 · 241,584 · 281,848 · 322,112 · 362,376 · 402,640

Sums & aliquot sequence

As consecutive integers: 5,749 + 5,750 + … + 5,755 2,509 + 2,510 + … + 2,524 304 + 305 + … + 415
Aliquot sequence: 40,264 46,136 42,664 37,346 19,678 9,842 8,398 6,722 3,364 2,733 915 573 195 141 51 21 11 — unresolved within range

Representations

In words
forty thousand two hundred sixty-four
Ordinal
40264th
Binary
1001110101001000
Octal
116510
Hexadecimal
0x9D48
Base64
nUg=
One's complement
25,271 (16-bit)
In other bases
ternary (3) 2001020021
quaternary (4) 21311020
quinary (5) 2242024
senary (6) 510224
septenary (7) 225250
nonary (9) 61207
undecimal (11) 28284
duodecimal (12) 1b374
tridecimal (13) 15433
tetradecimal (14) 10960
pentadecimal (15) bde4

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μσξδʹ
Mayan (base 20)
𝋥·𝋠·𝋭·𝋤
Chinese
四萬零二百六十四
Chinese (financial)
肆萬零貳佰陸拾肆
In other modern scripts
Eastern Arabic ٤٠٢٦٤ Devanagari ४०२६४ Bengali ৪০২৬৪ Tamil ௪௦௨௬௪ Thai ๔๐๒๖๔ Tibetan ༤༠༢༦༤ Khmer ៤០២៦៤ Lao ໔໐໒໖໔ Burmese ၄၀၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 40,264 = 0
e — Euler's number (e)
Digit 40,264 = 4
φ — Golden ratio (φ)
Digit 40,264 = 8
√2 — Pythagoras's (√2)
Digit 40,264 = 1
ln 2 — Natural log of 2
Digit 40,264 = 5
γ — Euler-Mascheroni (γ)
Digit 40,264 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40264, here are decompositions:

  • 11 + 40253 = 40264
  • 23 + 40241 = 40264
  • 71 + 40193 = 40264
  • 101 + 40163 = 40264
  • 113 + 40151 = 40264
  • 137 + 40127 = 40264
  • 227 + 40037 = 40264
  • 233 + 40031 = 40264

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9D48
U+9D48
Other letter (Lo)

UTF-8 encoding: E9 B5 88 (3 bytes).

Hex color
#009D48
RGB(0, 157, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.157.72.

Address
0.0.157.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.157.72

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
000040264
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 40264 first appears in π at position 91,334 of the decimal expansion (the 91,334ordinal-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.