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538,272

538,272 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.).

538,272 (five hundred thirty-eight thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 7 × 89. Its proper divisors sum to 1,276,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x836A0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,360
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
272,835
Square (n²)
289,736,745,984
Cube (n³)
155,957,177,734,299,648
Divisor count
96
σ(n) — sum of divisors
1,814,400
φ(n) — Euler's totient
152,064
Sum of prime factors
115

Primality

Prime factorization: 2 5 × 3 3 × 7 × 89

Nearest primes: 538,267 (−5) · 538,283 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 48 · 54 · 56 · 63 · 72 · 84 · 89 · 96 · 108 · 112 · 126 · 144 · 168 · 178 · 189 · 216 · 224 · 252 · 267 · 288 · 336 · 356 · 378 · 432 · 504 · 534 · 623 · 672 · 712 · 756 · 801 · 864 · 1008 · 1068 · 1246 · 1424 · 1512 · 1602 · 1869 · 2016 · 2136 · 2403 · 2492 · 2848 · 3024 · 3204 · 3738 · 4272 · 4806 · 4984 · 5607 · 6048 · 6408 · 7476 · 8544 · 9612 · 9968 · 11214 · 12816 · 14952 · 16821 · 19224 · 19936 · 22428 · 25632 · 29904 · 33642 · 38448 · 44856 · 59808 · 67284 · 76896 · 89712 · 134568 · 179424 · 269136 (half) · 538272
Aliquot sum (sum of proper divisors): 1,276,128
Factor pairs (a × b = 538,272)
1 × 538272
2 × 269136
3 × 179424
4 × 134568
6 × 89712
7 × 76896
8 × 67284
9 × 59808
12 × 44856
14 × 38448
16 × 33642
18 × 29904
21 × 25632
24 × 22428
27 × 19936
28 × 19224
32 × 16821
36 × 14952
42 × 12816
48 × 11214
54 × 9968
56 × 9612
63 × 8544
72 × 7476
84 × 6408
89 × 6048
96 × 5607
108 × 4984
112 × 4806
126 × 4272
144 × 3738
168 × 3204
178 × 3024
189 × 2848
216 × 2492
224 × 2403
252 × 2136
267 × 2016
288 × 1869
336 × 1602
356 × 1512
378 × 1424
432 × 1246
504 × 1068
534 × 1008
623 × 864
672 × 801
712 × 756
First multiples
538,272 · 1,076,544 (double) · 1,614,816 · 2,153,088 · 2,691,360 · 3,229,632 · 3,767,904 · 4,306,176 · 4,844,448 · 5,382,720

Sums & aliquot sequence

As consecutive integers: 179,423 + 179,424 + 179,425 76,893 + 76,894 + … + 76,899 59,804 + 59,805 + … + 59,812 25,622 + 25,623 + … + 25,642
Aliquot sequence: 538,272 1,276,128 2,997,792 6,751,584 16,599,744 40,458,816 75,510,726 75,510,738 92,291,022 112,800,258 139,777,236 214,097,376 363,317,280 800,620,320 1,721,335,200 4,312,716,096 7,975,767,328 — unresolved within range

Continued fraction of √n

√538,272 = [733; (1, 2, 30, 1, 7, 1, 4, 1, 1, 40, 4, 1, 2, 3, 1, 4, 3, 3, 1, 5, 1, 162, 5, 2, …)]

Representations

In words
five hundred thirty-eight thousand two hundred seventy-two
Ordinal
538272nd
Binary
10000011011010100000
Octal
2033240
Hexadecimal
0x836A0
Base64
CDag
One's complement
4,294,429,023 (32-bit)
Scientific notation
5.38272 × 10⁵
As a duration
538,272 s = 6 days, 5 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 1000100101000
quaternary (4) 2003122200
quinary (5) 114211042
senary (6) 15312000
septenary (7) 4401210
nonary (9) 1010330
undecimal (11) 338459
duodecimal (12) 21b600
tridecimal (13) 15b007
tetradecimal (14) 100240
pentadecimal (15) a974c

As an angle

538,272° = 1,495 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φλησοβʹ
Chinese
五十三萬八千二百七十二
Chinese (financial)
伍拾參萬捌仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ٥٣٨٢٧٢ Devanagari ५३८२७२ Bengali ৫৩৮২৭২ Tamil ௫௩௮௨௭௨ Thai ๕๓๘๒๗๒ Tibetan ༥༣༨༢༧༢ Khmer ៥៣៨២៧២ Lao ໕໓໘໒໗໒ Burmese ၅၃၈၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 538272, here are decompositions:

  • 5 + 538267 = 538272
  • 13 + 538259 = 538272
  • 23 + 538249 = 538272
  • 71 + 538201 = 538272
  • 73 + 538199 = 538272
  • 109 + 538163 = 538272
  • 113 + 538159 = 538272
  • 149 + 538123 = 538272

Showing the first eight; more decompositions exist.

Hex color
#0836A0
RGB(8, 54, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.54.160.

Address
0.8.54.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.54.160

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 538,272 and was likely granted around 1894.

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

Related reading

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