478,200
478,200 is a composite number, even.
478,200 (four hundred seventy-eight thousand two hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 797. Its proper divisors sum to 1,006,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74BF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 2,874
- Square (n²)
- 228,675,240,000
- Cube (n³)
- 109,352,499,768,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,484,280
- φ(n) — Euler's totient
- 127,360
- Sum of prime factors
- 816
Primality
Prime factorization: 2 3 × 3 × 5 2 × 797
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,200 = [691; (1, 1, 11, 1, 23, 1, 3, 2, 19, 28, 5, 1, 3, 55, 16, 2, 4, 5, 3, 57, 3, 5, 4, 2, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand two hundred
- Ordinal
- 478200th
- Binary
- 1110100101111111000
- Octal
- 1645770
- Hexadecimal
- 0x74BF8
- Base64
- B0v4
- One's complement
- 4,294,489,095 (32-bit)
- Scientific notation
- 4.782 × 10⁵
- As a duration
- 478,200 s = 5 days, 12 hours, 50 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵υοησʹ
- Chinese
- 四十七萬八千二百
- Chinese (financial)
- 肆拾柒萬捌仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478200, here are decompositions:
- 11 + 478189 = 478200
- 29 + 478171 = 478200
- 31 + 478169 = 478200
- 43 + 478157 = 478200
- 61 + 478139 = 478200
- 71 + 478129 = 478200
- 89 + 478111 = 478200
- 101 + 478099 = 478200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.75.248.
- Address
- 0.7.75.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.75.248
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 478,200 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 478200 first appears in π at position 430,204 of the decimal expansion (the 430,204ordinal-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°.