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474,488

474,488 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.).

474,488 (four hundred seventy-four thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 37 × 229. Its proper divisors sum to 574,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73D78.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
28,672
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
884,474
Square (n²)
225,138,862,144
Cube (n³)
106,825,688,420,982,272
Divisor count
32
σ(n) — sum of divisors
1,048,800
φ(n) — Euler's totient
196,992
Sum of prime factors
279

Primality

Prime factorization: 2 3 × 7 × 37 × 229

Nearest primes: 474,479 (−9) · 474,491 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 37 · 56 · 74 · 148 · 229 · 259 · 296 · 458 · 518 · 916 · 1036 · 1603 · 1832 · 2072 · 3206 · 6412 · 8473 · 12824 · 16946 · 33892 · 59311 · 67784 · 118622 · 237244 (half) · 474488
Aliquot sum (sum of proper divisors): 574,312
Factor pairs (a × b = 474,488)
1 × 474488
2 × 237244
4 × 118622
7 × 67784
8 × 59311
14 × 33892
28 × 16946
37 × 12824
56 × 8473
74 × 6412
148 × 3206
229 × 2072
259 × 1832
296 × 1603
458 × 1036
518 × 916
First multiples
474,488 · 948,976 (double) · 1,423,464 · 1,897,952 · 2,372,440 · 2,846,928 · 3,321,416 · 3,795,904 · 4,270,392 · 4,744,880

Sums & aliquot sequence

As consecutive integers: 67,781 + 67,782 + … + 67,787 29,648 + 29,649 + … + 29,663 12,806 + 12,807 + … + 12,842 4,181 + 4,182 + … + 4,292
Aliquot sequence: 474,488 574,312 502,538 262,102 144,698 75,622 37,814 29,674 16,154 8,794 4,400 7,132 5,356 4,836 7,708 6,404 4,810 — unresolved within range

Continued fraction of √n

√474,488 = [688; (1, 4, 1, 10, 1, 1, 4, 3, 1, 1, 2, 7, 1, 3, 4, 1, 4, 1, 2, 1, 12, 1, 1, 30, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand four hundred eighty-eight
Ordinal
474488th
Binary
1110011110101111000
Octal
1636570
Hexadecimal
0x73D78
Base64
Bz14
One's complement
4,294,492,807 (32-bit)
Scientific notation
4.74488 × 10⁵
As a duration
474,488 s = 5 days, 11 hours, 48 minutes, 8 seconds
In other bases
ternary (3) 220002212122
quaternary (4) 1303311320
quinary (5) 110140423
senary (6) 14100412
septenary (7) 4014230
nonary (9) 802778
undecimal (11) 2a4543
duodecimal (12) 1aa708
tridecimal (13) 137c81
tetradecimal (14) c4cc0
pentadecimal (15) 958c8

As an angle

474,488° = 1,318 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοδυπηʹ
Chinese
四十七萬四千四百八十八
Chinese (financial)
肆拾柒萬肆仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ٤٧٤٤٨٨ Devanagari ४७४४८८ Bengali ৪৭৪৪৮৮ Tamil ௪௭௪௪௮௮ Thai ๔๗๔๔๘๘ Tibetan ༤༧༤༤༨༨ Khmer ៤៧៤៤៨៨ Lao ໔໗໔໔໘໘ Burmese ၄၇၄၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474488, here are decompositions:

  • 97 + 474391 = 474488
  • 109 + 474379 = 474488
  • 151 + 474337 = 474488
  • 181 + 474307 = 474488
  • 199 + 474289 = 474488
  • 277 + 474211 = 474488
  • 337 + 474151 = 474488
  • 439 + 474049 = 474488

Showing the first eight; more decompositions exist.

Hex color
#073D78
RGB(7, 61, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.120.

Address
0.7.61.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.61.120

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 474,488 and was likely granted around 1892.

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

Position in π

The digit sequence 474488 first appears in π at position 68,396 of the decimal expansion (the 68,396ordinal-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°.