542,724
542,724 is a composite number, even.
542,724 (five hundred forty-two thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7² × 13 × 71. Its proper divisors sum to 1,066,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x84804.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 2,240
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 427,245
- Square (n²)
- 294,549,340,176
- Cube (n³)
- 159,858,996,097,679,424
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,608,768
- φ(n) — Euler's totient
- 141,120
- Sum of prime factors
- 105
Primality
Prime factorization: 2 2 × 3 × 7 2 × 13 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√542,724 = [736; (1, 2, 3, 4, 1, 3, 1, 22, 4, 2, 1, 4, 1, 1, 1, 2, 7, 5, 1, 1, 1, 1, 1, 2, …)]
Representations
- In words
- five hundred forty-two thousand seven hundred twenty-four
- Ordinal
- 542724th
- Binary
- 10000100100000000100
- Octal
- 2044004
- Hexadecimal
- 0x84804
- Base64
- CEgE
- One's complement
- 4,294,424,571 (32-bit)
- Scientific notation
- 5.42724 × 10⁵
- As a duration
- 542,724 s = 6 days, 6 hours, 45 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φμβψκδʹ
- Chinese
- 五十四萬二千七百二十四
- Chinese (financial)
- 伍拾肆萬貳仟柒佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 542724, here are decompositions:
- 5 + 542719 = 542724
- 11 + 542713 = 542724
- 31 + 542693 = 542724
- 37 + 542687 = 542724
- 41 + 542683 = 542724
- 137 + 542587 = 542724
- 157 + 542567 = 542724
- 167 + 542557 = 542724
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.72.4.
- Address
- 0.8.72.4
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.72.4
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 542,724 and was likely granted around 1895.
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°.