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496,944

496,944 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.).

496,944 (four hundred ninety-six thousand nine hundred forty-four) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 7 × 17 × 29. Its proper divisors sum to 1,244,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79530.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
31,104
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
449,694
Square (n²)
246,953,339,136
Cube (n³)
122,721,980,163,600,384
Divisor count
120
σ(n) — sum of divisors
1,740,960
φ(n) — Euler's totient
129,024
Sum of prime factors
67

Primality

Prime factorization: 2 4 × 3 2 × 7 × 17 × 29

Nearest primes: 496,919 (−25) · 496,949 (+5)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 17 · 18 · 21 · 24 · 28 · 29 · 34 · 36 · 42 · 48 · 51 · 56 · 58 · 63 · 68 · 72 · 84 · 87 · 102 · 112 · 116 · 119 · 126 · 136 · 144 · 153 · 168 · 174 · 203 · 204 · 232 · 238 · 252 · 261 · 272 · 306 · 336 · 348 · 357 · 406 · 408 · 464 · 476 · 493 · 504 · 522 · 609 · 612 · 696 · 714 · 812 · 816 · 952 · 986 · 1008 · 1044 · 1071 · 1218 · 1224 · 1392 · 1428 · 1479 · 1624 · 1827 · 1904 · 1972 · 2088 · 2142 · 2436 · 2448 · 2856 · 2958 · 3248 · 3451 · 3654 · 3944 · 4176 · 4284 · 4437 · 4872 · 5712 · 5916 · 6902 · 7308 · 7888 · 8568 · 8874 · 9744 · 10353 · 11832 · 13804 · 14616 · 17136 · 17748 · 20706 · 23664 · 27608 · 29232 · 31059 · 35496 · 41412 · 55216 · 62118 · 70992 · 82824 · 124236 · 165648 · 248472 (half) · 496944
Aliquot sum (sum of proper divisors): 1,244,016
Factor pairs (a × b = 496,944)
1 × 496944
2 × 248472
3 × 165648
4 × 124236
6 × 82824
7 × 70992
8 × 62118
9 × 55216
12 × 41412
14 × 35496
16 × 31059
17 × 29232
18 × 27608
21 × 23664
24 × 20706
28 × 17748
29 × 17136
34 × 14616
36 × 13804
42 × 11832
48 × 10353
51 × 9744
56 × 8874
58 × 8568
63 × 7888
68 × 7308
72 × 6902
84 × 5916
87 × 5712
102 × 4872
112 × 4437
116 × 4284
119 × 4176
126 × 3944
136 × 3654
144 × 3451
153 × 3248
168 × 2958
174 × 2856
203 × 2448
204 × 2436
232 × 2142
238 × 2088
252 × 1972
261 × 1904
272 × 1827
306 × 1624
336 × 1479
348 × 1428
357 × 1392
406 × 1224
408 × 1218
464 × 1071
476 × 1044
493 × 1008
504 × 986
522 × 952
609 × 816
612 × 812
696 × 714
First multiples
496,944 · 993,888 (double) · 1,490,832 · 1,987,776 · 2,484,720 · 2,981,664 · 3,478,608 · 3,975,552 · 4,472,496 · 4,969,440

Sums & aliquot sequence

As consecutive integers: 165,647 + 165,648 + 165,649 70,989 + 70,990 + … + 70,995 55,212 + 55,213 + … + 55,220 29,224 + 29,225 + … + 29,240
Aliquot sequence: 496,944 1,244,016 2,324,952 5,010,948 7,781,832 14,080,008 21,120,072 33,977,208 53,269,512 79,904,328 148,394,232 316,860,168 476,716,632 885,331,368 1,570,931,532 2,400,034,376 2,146,883,824 — unresolved within range

Continued fraction of √n

√496,944 = [704; (1, 16, 2, 2, 5, 1, 1, 2, 1, 55, 1, 2, 9, 1, 2, 1, 3, 1, 1, 87, 1, 1, 3, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-six thousand nine hundred forty-four
Ordinal
496944th
Binary
1111001010100110000
Octal
1712460
Hexadecimal
0x79530
Base64
B5Uw
One's complement
4,294,470,351 (32-bit)
Scientific notation
4.96944 × 10⁵
As a duration
496,944 s = 5 days, 18 hours, 2 minutes, 24 seconds
In other bases
ternary (3) 221020200100
quaternary (4) 1321110300
quinary (5) 111400234
senary (6) 14352400
septenary (7) 4136550
nonary (9) 836610
undecimal (11) 30a3a8
duodecimal (12) 1bb700
tridecimal (13) 145266
tetradecimal (14) cd160
pentadecimal (15) 9c399

As an angle

496,944° = 1,380 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟϛϡμδʹ
Chinese
四十九萬六千九百四十四
Chinese (financial)
肆拾玖萬陸仟玖佰肆拾肆
In other modern scripts
Eastern Arabic ٤٩٦٩٤٤ Devanagari ४९६९४४ Bengali ৪৯৬৯৪৪ Tamil ௪௯௬௯௪௪ Thai ๔๙๖๙๔๔ Tibetan ༤༩༦༩༤༤ Khmer ៤៩៦៩៤៤ Lao ໔໙໖໙໔໔ Burmese ၄၉၆၉၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 496944, here are decompositions:

  • 31 + 496913 = 496944
  • 43 + 496901 = 496944
  • 47 + 496897 = 496944
  • 53 + 496891 = 496944
  • 67 + 496877 = 496944
  • 73 + 496871 = 496944
  • 103 + 496841 = 496944
  • 127 + 496817 = 496944

Showing the first eight; more decompositions exist.

Hex color
#079530
RGB(7, 149, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.149.48.

Address
0.7.149.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.149.48

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 496,944 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 496944 first appears in π at position 636,412 of the decimal expansion (the 636,412ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.