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532,440

532,440 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.).

532,440 (five hundred thirty-two thousand four hundred forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 17 × 29. Its proper divisors sum to 1,411,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x81FD8.

Abundant Number Evil Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
44,235
Square (n²)
283,492,353,600
Cube (n³)
150,942,668,750,784,000
Divisor count
128
σ(n) — sum of divisors
1,944,000
φ(n) — Euler's totient
129,024
Sum of prime factors
66

Primality

Prime factorization: 2 3 × 3 3 × 5 × 17 × 29

Nearest primes: 532,439 (−1) · 532,447 (+7)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 17 · 18 · 20 · 24 · 27 · 29 · 30 · 34 · 36 · 40 · 45 · 51 · 54 · 58 · 60 · 68 · 72 · 85 · 87 · 90 · 102 · 108 · 116 · 120 · 135 · 136 · 145 · 153 · 170 · 174 · 180 · 204 · 216 · 232 · 255 · 261 · 270 · 290 · 306 · 340 · 348 · 360 · 408 · 435 · 459 · 493 · 510 · 522 · 540 · 580 · 612 · 680 · 696 · 765 · 783 · 870 · 918 · 986 · 1020 · 1044 · 1080 · 1160 · 1224 · 1305 · 1479 · 1530 · 1566 · 1740 · 1836 · 1972 · 2040 · 2088 · 2295 · 2465 · 2610 · 2958 · 3060 · 3132 · 3480 · 3672 · 3915 · 3944 · 4437 · 4590 · 4930 · 5220 · 5916 · 6120 · 6264 · 7395 · 7830 · 8874 · 9180 · 9860 · 10440 · 11832 · 13311 · 14790 · 15660 · 17748 · 18360 · 19720 · 22185 · 26622 · 29580 · 31320 · 35496 · 44370 · 53244 · 59160 · 66555 · 88740 · 106488 · 133110 · 177480 · 266220 (half) · 532440
Aliquot sum (sum of proper divisors): 1,411,560
Factor pairs (a × b = 532,440)
1 × 532440
2 × 266220
3 × 177480
4 × 133110
5 × 106488
6 × 88740
8 × 66555
9 × 59160
10 × 53244
12 × 44370
15 × 35496
17 × 31320
18 × 29580
20 × 26622
24 × 22185
27 × 19720
29 × 18360
30 × 17748
34 × 15660
36 × 14790
40 × 13311
45 × 11832
51 × 10440
54 × 9860
58 × 9180
60 × 8874
68 × 7830
72 × 7395
85 × 6264
87 × 6120
90 × 5916
102 × 5220
108 × 4930
116 × 4590
120 × 4437
135 × 3944
136 × 3915
145 × 3672
153 × 3480
170 × 3132
174 × 3060
180 × 2958
204 × 2610
216 × 2465
232 × 2295
255 × 2088
261 × 2040
270 × 1972
290 × 1836
306 × 1740
340 × 1566
348 × 1530
360 × 1479
408 × 1305
435 × 1224
459 × 1160
493 × 1080
510 × 1044
522 × 1020
540 × 986
580 × 918
612 × 870
680 × 783
696 × 765
First multiples
532,440 · 1,064,880 (double) · 1,597,320 · 2,129,760 · 2,662,200 · 3,194,640 · 3,727,080 · 4,259,520 · 4,791,960 · 5,324,400

Sums & aliquot sequence

As consecutive integers: 177,479 + 177,480 + 177,481 106,486 + 106,487 + 106,488 + 106,489 + 106,490 59,156 + 59,157 + … + 59,164 35,489 + 35,490 + … + 35,503
Aliquot sequence: 532,440 1,411,560 3,297,240 8,107,560 18,921,240 47,881,080 120,837,600 338,398,632 785,924,568 1,714,777,272 3,296,782,008 6,318,834,912 13,659,523,488 — keeps growing

Continued fraction of √n

√532,440 = [729; (1, 2, 5, 1, 3, 2, 2, 161, 1, 2, 1, 7, 1, 7, 1, 2, 1, 161, 2, 2, 3, 1, 5, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
five hundred thirty-two thousand four hundred forty
Ordinal
532440th
Binary
10000001111111011000
Octal
2017730
Hexadecimal
0x81FD8
Base64
CB/Y
One's complement
4,294,434,855 (32-bit)
Scientific notation
5.3244 × 10⁵
As a duration
532,440 s = 6 days, 3 hours, 54 minutes
In other bases
ternary (3) 1000001101000
quaternary (4) 2001333120
quinary (5) 114014230
senary (6) 15225000
septenary (7) 4345206
nonary (9) 1001330
undecimal (11) 334037
duodecimal (12) 218160
tridecimal (13) 15846c
tetradecimal (14) dc076
pentadecimal (15) a7b60

As an angle

532,440° = 1,479 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φλβυμʹ
Chinese
五十三萬二千四百四十
Chinese (financial)
伍拾參萬貳仟肆佰肆拾
In other modern scripts
Eastern Arabic ٥٣٢٤٤٠ Devanagari ५३२४४० Bengali ৫৩২৪৪০ Tamil ௫௩௨௪௪௦ Thai ๕๓๒๔๔๐ Tibetan ༥༣༢༤༤༠ Khmer ៥៣២៤៤០ Lao ໕໓໒໔໔໐ Burmese ၅၃၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 532440, here are decompositions:

  • 19 + 532421 = 532440
  • 23 + 532417 = 532440
  • 37 + 532403 = 532440
  • 61 + 532379 = 532440
  • 67 + 532373 = 532440
  • 107 + 532333 = 532440
  • 109 + 532331 = 532440
  • 113 + 532327 = 532440

Showing the first eight; more decompositions exist.

Hex color
#081FD8
RGB(8, 31, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.31.216.

Address
0.8.31.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.31.216

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 532,440 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°.