496,400
496,400 is a composite number, even.
496,400 (four hundred ninety-six thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 17 × 73. Its proper divisors sum to 783,652, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79310.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,694
- Square (n²)
- 246,412,960,000
- Cube (n³)
- 122,319,393,344,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,280,052
- φ(n) — Euler's totient
- 184,320
- Sum of prime factors
- 108
Primality
Prime factorization: 2 4 × 5 2 × 17 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√496,400 = [704; (1, 1, 3, 1, 11, 15, 1, 2, 1, 28, 88, 28, 1, 2, 1, 15, 11, 1, 3, 1, 1, 1408)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety-six thousand four hundred
- Ordinal
- 496400th
- Binary
- 1111001001100010000
- Octal
- 1711420
- Hexadecimal
- 0x79310
- Base64
- B5MQ
- One's complement
- 4,294,470,895 (32-bit)
- Scientific notation
- 4.964 × 10⁵
- As a duration
- 496,400 s = 5 days, 17 hours, 53 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υϟϛυʹ
- Chinese
- 四十九萬六千四百
- Chinese (financial)
- 肆拾玖萬陸仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 496400, here are decompositions:
- 19 + 496381 = 496400
- 61 + 496339 = 496400
- 67 + 496333 = 496400
- 97 + 496303 = 496400
- 103 + 496297 = 496400
- 109 + 496291 = 496400
- 277 + 496123 = 496400
- 337 + 496063 = 496400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.147.16.
- Address
- 0.7.147.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.147.16
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 496,400 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 496400 first appears in π at position 118,776 of the decimal expansion (the 118,776ordinal-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°.