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537,472

537,472 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.).

537,472 (five hundred thirty-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 13 × 17 × 19. Its proper divisors sum to 747,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x83380.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
5,880
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
274,735
Square (n²)
288,876,150,784
Cube (n³)
155,262,842,514,178,048
Divisor count
64
σ(n) — sum of divisors
1,285,200
φ(n) — Euler's totient
221,184
Sum of prime factors
63

Primality

Prime factorization: 2 7 × 13 × 17 × 19

Nearest primes: 537,413 (−59) · 537,497 (+25)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 8 · 13 · 16 · 17 · 19 · 26 · 32 · 34 · 38 · 52 · 64 · 68 · 76 · 104 · 128 · 136 · 152 · 208 · 221 · 247 · 272 · 304 · 323 · 416 · 442 · 494 · 544 · 608 · 646 · 832 · 884 · 988 · 1088 · 1216 · 1292 · 1664 · 1768 · 1976 · 2176 · 2432 · 2584 · 3536 · 3952 · 4199 · 5168 · 7072 · 7904 · 8398 · 10336 · 14144 · 15808 · 16796 · 20672 · 28288 · 31616 · 33592 · 41344 · 67184 · 134368 · 268736 (half) · 537472
Aliquot sum (sum of proper divisors): 747,728
Factor pairs (a × b = 537,472)
1 × 537472
2 × 268736
4 × 134368
8 × 67184
13 × 41344
16 × 33592
17 × 31616
19 × 28288
26 × 20672
32 × 16796
34 × 15808
38 × 14144
52 × 10336
64 × 8398
68 × 7904
76 × 7072
104 × 5168
128 × 4199
136 × 3952
152 × 3536
208 × 2584
221 × 2432
247 × 2176
272 × 1976
304 × 1768
323 × 1664
416 × 1292
442 × 1216
494 × 1088
544 × 988
608 × 884
646 × 832
First multiples
537,472 · 1,074,944 (double) · 1,612,416 · 2,149,888 · 2,687,360 · 3,224,832 · 3,762,304 · 4,299,776 · 4,837,248 · 5,374,720

Sums & aliquot sequence

As consecutive integers: 41,338 + 41,339 + … + 41,350 31,608 + 31,609 + … + 31,624 28,279 + 28,280 + … + 28,297 2,322 + 2,323 + … + 2,542
Aliquot sequence: 537,472 747,728 786,772 786,828 1,632,372 2,720,844 5,611,956 9,353,484 17,668,420 30,091,880 54,799,360 110,270,720 202,117,888 277,674,320 527,238,448 645,811,472 605,889,664 — unresolved within range

Continued fraction of √n

√537,472 = [733; (8, 86, 8, 1466)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred thirty-seven thousand four hundred seventy-two
Ordinal
537472nd
Binary
10000011001110000000
Octal
2031600
Hexadecimal
0x83380
Base64
CDOA
One's complement
4,294,429,823 (32-bit)
Scientific notation
5.37472 × 10⁵
As a duration
537,472 s = 6 days, 5 hours, 17 minutes, 52 seconds
In other bases
ternary (3) 1000022021101
quaternary (4) 2003032000
quinary (5) 114144342
senary (6) 15304144
septenary (7) 4365655
nonary (9) 1008241
undecimal (11) 3378a1
duodecimal (12) 21b054
tridecimal (13) 15a840
tetradecimal (14) ddc2c
pentadecimal (15) a93b7

As an angle

537,472° = 1,492 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φλζυοβʹ
Chinese
五十三萬七千四百七十二
Chinese (financial)
伍拾參萬柒仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ٥٣٧٤٧٢ Devanagari ५३७४७२ Bengali ৫৩৭৪৭২ Tamil ௫௩௭௪௭௨ Thai ๕๓๗๔๗๒ Tibetan ༥༣༧༤༧༢ Khmer ៥៣៧៤៧២ Lao ໕໓໗໔໗໒ Burmese ၅၃၇၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 537472, here are decompositions:

  • 59 + 537413 = 537472
  • 71 + 537401 = 537472
  • 191 + 537281 = 537472
  • 239 + 537233 = 537472
  • 251 + 537221 = 537472
  • 281 + 537191 = 537472
  • 401 + 537071 = 537472
  • 431 + 537041 = 537472

Showing the first eight; more decompositions exist.

Hex color
#083380
RGB(8, 51, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.51.128.

Address
0.8.51.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.51.128

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 537,472 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°.