506,472
506,472 is a composite number, even.
506,472 (five hundred six thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 47 × 449. Its proper divisors sum to 789,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7BA68.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 274,605
- Square (n²)
- 256,513,886,784
- Cube (n³)
- 129,917,101,267,266,048
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,296,000
- φ(n) — Euler's totient
- 164,864
- Sum of prime factors
- 505
Primality
Prime factorization: 2 3 × 3 × 47 × 449
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√506,472 = [711; (1, 2, 61, 1, 1, 4, 2, 2, 1, 1, 1, 50, 4, 1, 15, 1, 1, 3, 1, 2, 2, 2, 1, 13, …)]
Representations
- In words
- five hundred six thousand four hundred seventy-two
- Ordinal
- 506472nd
- Binary
- 1111011101001101000
- Octal
- 1735150
- Hexadecimal
- 0x7BA68
- Base64
- B7po
- One's complement
- 4,294,460,823 (32-bit)
- Scientific notation
- 5.06472 × 10⁵
- As a duration
- 506,472 s = 5 days, 20 hours, 41 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φϛυοβʹ
- Chinese
- 五十萬六千四百七十二
- Chinese (financial)
- 伍拾萬陸仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 506472, here are decompositions:
- 11 + 506461 = 506472
- 13 + 506459 = 506472
- 23 + 506449 = 506472
- 79 + 506393 = 506472
- 139 + 506333 = 506472
- 181 + 506291 = 506472
- 191 + 506281 = 506472
- 271 + 506201 = 506472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.186.104.
- Address
- 0.7.186.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.186.104
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 506,472 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 506472 first appears in π at position 597,392 of the decimal expansion (the 597,392ordinal-suffix:nd 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°.