Английская Википедия:40,000
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Шаблон:Redirect Шаблон:Infobox number
40,000 (forty thousand) is the natural number that comes after 39,999 and before 40,001. It is the square of 200.
Selected numbers in the range 40001–49999
40001 to 40999
- 40320 = smallest factorial (8!) that is not a highly composite number
- 40425 = square pyramidal number
- 40585 = largest factorion[1]
- 40678 = pentagonal pyramidal number
- 40755 = Triangular number, Pentagonal number, Hexagonal number, 390-gonal, 4077-gonal, and 13586-gonal number.[2][3][4]
- 40804 = palindromic square
41000 to 41999
- 41041 = Carmichael number[5]
- 41472 = 3-smooth number, number of reduced trees with 24 nodes[6]
- 41586 = Large Schröder number
- 41616 = triangular square number[7]
- 41835 = Motzkin number[8]
- 41841 = 1/41841 = 0.0000239 is a repeating decimal with period 7
42000 to 42999
- 42680 = octahedral number[9]
- 42875 = 353
- 42925 = square pyramidal number
43000 to 43999
- 43261 = Markov number[10]
- 43390 = number of primes <math>\leq 2^{19}</math>.[11]
- 43560 = pentagonal pyramidal number
- 43691 = Wagstaff prime[12]
- 43777 = smallest member of a prime sextuplet
44000 to 44999
- 44044 = palindrome of 79 after 6 iterations of the "reverse and add" iterative process[13]
- 44100 = sum of the cubes of the first 20 positive integers 44,100 Hz is a common sampling frequency in digital audio (and is the standard for compact discs).
- 44444 = repdigit
- 44721 = smallest positive integer such that the expression Шаблон:Sfrac − Шаблон:Sfrac ≤ 10−9
- 44944 = palindromic square
45000 to 45999
- 45360 = highly composite number;[14] first number to have 100 factors (including one and itself)
46000 to 46999
- 46233 = sum of the first eight factorials
- 46368 = Fibonacci number[15]
- 46656 = 36Шаблон:Sup, 66, 3-smooth number
- 46657 = Carmichael number[5]
47000 to 47999
- 47058 = primary pseudoperfect number[16]
- 47160 = 10-th derivative of xx at x=1[17]
- 47321/33461 ≈ √2
48000 to 48999
- 48734 = number of 22-bead necklaces (turning over is allowed) where complements are equivalent[18]
49000 to 49999
- 49151 = Woodall number[19]
- 49152 = 3-smooth number
- 49726 = pentagonal pyramidal number
- 49940 = number of 21-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[20]
Primes
There are 930 prime numbers between 40000 and 50000.
References
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite OEIS
- ↑ 5,0 5,1 Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS