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948,480

948,480 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.).

948,480 (nine hundred forty-eight thousand four hundred eighty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁸ × 3 × 5 × 13 × 19. Its proper divisors sum to 2,485,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE7900.

Abundant Number Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
84,849
Square (n²)
899,614,310,400
Cube (n³)
853,266,181,128,192,000
Divisor count
144
σ(n) — sum of divisors
3,433,920
φ(n) — Euler's totient
221,184
Sum of prime factors
56

Primality

Prime factorization: 2 8 × 3 × 5 × 13 × 19

Nearest primes: 948,469 (−11) · 948,487 (+7)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 19 · 20 · 24 · 26 · 30 · 32 · 38 · 39 · 40 · 48 · 52 · 57 · 60 · 64 · 65 · 76 · 78 · 80 · 95 · 96 · 104 · 114 · 120 · 128 · 130 · 152 · 156 · 160 · 190 · 192 · 195 · 208 · 228 · 240 · 247 · 256 · 260 · 285 · 304 · 312 · 320 · 380 · 384 · 390 · 416 · 456 · 480 · 494 · 520 · 570 · 608 · 624 · 640 · 741 · 760 · 768 · 780 · 832 · 912 · 960 · 988 · 1040 · 1140 · 1216 · 1235 · 1248 · 1280 · 1482 · 1520 · 1560 · 1664 · 1824 · 1920 · 1976 · 2080 · 2280 · 2432 · 2470 · 2496 · 2964 · 3040 · 3120 · 3328 · 3648 · 3705 · 3840 · 3952 · 4160 · 4560 · 4864 · 4940 · 4992 · 5928 · 6080 · 6240 · 7296 · 7410 · 7904 · 8320 · 9120 · 9880 · 9984 · 11856 · 12160 · 12480 · 14592 · 14820 · 15808 · 16640 · 18240 · 19760 · 23712 · 24320 · 24960 · 29640 · 31616 · 36480 · 39520 · 47424 · 49920 · 59280 · 63232 · 72960 · 79040 · 94848 · 118560 · 158080 · 189696 · 237120 · 316160 · 474240 (half) · 948480
Aliquot sum (sum of proper divisors): 2,485,440
Factor pairs (a × b = 948,480)
1 × 948480
2 × 474240
3 × 316160
4 × 237120
5 × 189696
6 × 158080
8 × 118560
10 × 94848
12 × 79040
13 × 72960
15 × 63232
16 × 59280
19 × 49920
20 × 47424
24 × 39520
26 × 36480
30 × 31616
32 × 29640
38 × 24960
39 × 24320
40 × 23712
48 × 19760
52 × 18240
57 × 16640
60 × 15808
64 × 14820
65 × 14592
76 × 12480
78 × 12160
80 × 11856
95 × 9984
96 × 9880
104 × 9120
114 × 8320
120 × 7904
128 × 7410
130 × 7296
152 × 6240
156 × 6080
160 × 5928
190 × 4992
192 × 4940
195 × 4864
208 × 4560
228 × 4160
240 × 3952
247 × 3840
256 × 3705
260 × 3648
285 × 3328
304 × 3120
312 × 3040
320 × 2964
380 × 2496
384 × 2470
390 × 2432
416 × 2280
456 × 2080
480 × 1976
494 × 1920
520 × 1824
570 × 1664
608 × 1560
624 × 1520
640 × 1482
741 × 1280
760 × 1248
768 × 1235
780 × 1216
832 × 1140
912 × 1040
960 × 988
First multiples
948,480 · 1,896,960 (double) · 2,845,440 · 3,793,920 · 4,742,400 · 5,690,880 · 6,639,360 · 7,587,840 · 8,536,320 · 9,484,800

Sums & aliquot sequence

As consecutive integers: 316,159 + 316,160 + 316,161 189,694 + 189,695 + 189,696 + 189,697 + 189,698 72,954 + 72,955 + … + 72,966 63,225 + 63,226 + … + 63,239
Aliquot sequence: 948,480 2,485,440 6,073,344 11,489,916 16,562,724 22,083,660 45,795,060 103,066,380 212,844,852 399,636,108 611,232,660 1,350,086,700 2,556,165,020 2,811,781,564 2,113,481,324 1,604,936,596 1,373,872,748 — unresolved within range

Continued fraction of √n

√948,480 = [973; (1, 8, 1, 15, 5, 15, 1, 8, 1, 1946)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
nine hundred forty-eight thousand four hundred eighty
Ordinal
948480th
Binary
11100111100100000000
Octal
3474400
Hexadecimal
0xE7900
Base64
DnkA
One's complement
4,294,018,815 (32-bit)
Scientific notation
9.4848 × 10⁵
As a duration
948,480 s = 10 days, 23 hours, 28 minutes
In other bases
ternary (3) 1210012001220
quaternary (4) 3213210000
quinary (5) 220322410
senary (6) 32155040
septenary (7) 11030151
nonary (9) 1705056
undecimal (11) 598675
duodecimal (12) 398a80
tridecimal (13) 272940
tetradecimal (14) 1a9928
pentadecimal (15) 13b070

As an angle

948,480° = 2,634 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡμηυπʹ
Chinese
九十四萬八千四百八十
Chinese (financial)
玖拾肆萬捌仟肆佰捌拾
In other modern scripts
Eastern Arabic ٩٤٨٤٨٠ Devanagari ९४८४८० Bengali ৯৪৮৪৮০ Tamil ௯௪௮௪௮௦ Thai ๙๔๘๔๘๐ Tibetan ༩༤༨༤༨༠ Khmer ៩៤៨៤៨០ Lao ໙໔໘໔໘໐ Burmese ၉၄၈၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 948480, here are decompositions:

  • 11 + 948469 = 948480
  • 23 + 948457 = 948480
  • 31 + 948449 = 948480
  • 37 + 948443 = 948480
  • 41 + 948439 = 948480
  • 53 + 948427 = 948480
  • 73 + 948407 = 948480
  • 79 + 948401 = 948480

Showing the first eight; more decompositions exist.

Hex color
#0E7900
RGB(14, 121, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.121.0.

Address
0.14.121.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.121.0

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 948,480 and was likely granted around 1909.

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°.