477,400
477,400 is a composite number, even.
477,400 (four hundred seventy-seven thousand four hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 5² × 7 × 11 × 31. Its proper divisors sum to 951,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x748D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,774
- Square (n²)
- 227,910,760,000
- Cube (n³)
- 108,804,596,824,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,428,480
- φ(n) — Euler's totient
- 144,000
- Sum of prime factors
- 65
Primality
Prime factorization: 2 3 × 5 2 × 7 × 11 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√477,400 = [690; (1, 16, 16, 2, 1, 1, 4, 1, 1, 152, 1, 152, 1, 1, 4, 1, 1, 2, 16, 16, 1, 1380)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-seven thousand four hundred
- Ordinal
- 477400th
- Binary
- 1110100100011011000
- Octal
- 1644330
- Hexadecimal
- 0x748D8
- Base64
- B0jY
- One's complement
- 4,294,489,895 (32-bit)
- Scientific notation
- 4.774 × 10⁵
- As a duration
- 477,400 s = 5 days, 12 hours, 36 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υοζυʹ
- Chinese
- 四十七萬七千四百
- Chinese (financial)
- 肆拾柒萬柒仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477400, here are decompositions:
- 17 + 477383 = 477400
- 41 + 477359 = 477400
- 59 + 477341 = 477400
- 71 + 477329 = 477400
- 83 + 477317 = 477400
- 107 + 477293 = 477400
- 179 + 477221 = 477400
- 191 + 477209 = 477400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.72.216.
- Address
- 0.7.72.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.72.216
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 477,400 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 477400 first appears in π at position 44,469 of the decimal expansion (the 44,469ordinal-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°.