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552,624

552,624 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.).

552,624 (five hundred fifty-two thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 29 × 397. Its proper divisors sum to 927,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86EB0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,400
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
426,255
Square (n²)
305,393,285,376
Cube (n³)
168,767,658,937,626,624
Divisor count
40
σ(n) — sum of divisors
1,480,560
φ(n) — Euler's totient
177,408
Sum of prime factors
437

Primality

Prime factorization: 2 4 × 3 × 29 × 397

Nearest primes: 552,611 (−13) · 552,649 (+25)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 29 · 48 · 58 · 87 · 116 · 174 · 232 · 348 · 397 · 464 · 696 · 794 · 1191 · 1392 · 1588 · 2382 · 3176 · 4764 · 6352 · 9528 · 11513 · 19056 · 23026 · 34539 · 46052 · 69078 · 92104 · 138156 · 184208 · 276312 (half) · 552624
Aliquot sum (sum of proper divisors): 927,936
Factor pairs (a × b = 552,624)
1 × 552624
2 × 276312
3 × 184208
4 × 138156
6 × 92104
8 × 69078
12 × 46052
16 × 34539
24 × 23026
29 × 19056
48 × 11513
58 × 9528
87 × 6352
116 × 4764
174 × 3176
232 × 2382
348 × 1588
397 × 1392
464 × 1191
696 × 794
First multiples
552,624 · 1,105,248 (double) · 1,657,872 · 2,210,496 · 2,763,120 · 3,315,744 · 3,868,368 · 4,420,992 · 4,973,616 · 5,526,240

Sums & aliquot sequence

As consecutive integers: 184,207 + 184,208 + 184,209 19,042 + 19,043 + … + 19,070 17,254 + 17,255 + … + 17,285 6,309 + 6,310 + … + 6,395
Aliquot sequence: 552,624 927,936 1,838,124 2,808,336 4,628,688 7,328,880 21,106,800 67,043,808 149,716,512 344,253,888 769,177,464 1,377,395,976 2,394,900,024 4,821,850,056 7,235,269,944 13,622,381,256 — keeps growing

Continued fraction of √n

√552,624 = [743; (2, 1, 1, 2, 2, 3, 1, 2, 3, 11, 4, 2, 1, 1, 3, 3, 2, 3, 1, 1, 3, 2, 10, 5, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-two thousand six hundred twenty-four
Ordinal
552624th
Binary
10000110111010110000
Octal
2067260
Hexadecimal
0x86EB0
Base64
CG6w
One's complement
4,294,414,671 (32-bit)
Scientific notation
5.52624 × 10⁵
As a duration
552,624 s = 6 days, 9 hours, 30 minutes, 24 seconds
In other bases
ternary (3) 1001002001120
quaternary (4) 2012322300
quinary (5) 120140444
senary (6) 15502240
septenary (7) 4461102
nonary (9) 1032046
undecimal (11) 348216
duodecimal (12) 227980
tridecimal (13) 1646c7
tetradecimal (14) 105572
pentadecimal (15) adb19

As an angle

552,624° = 1,535 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φνβχκδʹ
Chinese
五十五萬二千六百二十四
Chinese (financial)
伍拾伍萬貳仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ٥٥٢٦٢٤ Devanagari ५५२६२४ Bengali ৫৫২৬২৪ Tamil ௫௫௨௬௨௪ Thai ๕๕๒๖๒๔ Tibetan ༥༥༢༦༢༤ Khmer ៥៥២៦២៤ Lao ໕໕໒໖໒໔ Burmese ၅၅၂၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552624, here are decompositions:

  • 13 + 552611 = 552624
  • 41 + 552583 = 552624
  • 43 + 552581 = 552624
  • 71 + 552553 = 552624
  • 97 + 552527 = 552624
  • 101 + 552523 = 552624
  • 113 + 552511 = 552624
  • 131 + 552493 = 552624

Showing the first eight; more decompositions exist.

Hex color
#086EB0
RGB(8, 110, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.110.176.

Address
0.8.110.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.110.176

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 552,624 and was likely granted around 1895.

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°.