472,878
472,878 is a composite number, even.
472,878 (four hundred seventy-two thousand eight hundred seventy-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3⁵ × 7 × 139. Its proper divisors sum to 750,162, more than the number itself, making it an abundant number. It is the 972nd triangular number. Written other ways, in hexadecimal, 0x7372E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 25,088
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 878,274
- Square (n²)
- 223,613,602,884
- Cube (n³)
- 105,741,953,304,580,152
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,223,040
- φ(n) — Euler's totient
- 134,136
- Sum of prime factors
- 163
Primality
Prime factorization: 2 × 3 5 × 7 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,878 = [687; (1, 1, 1, 19, 1, 6, 5, 1, 2, 1, 3, 16, 1, 2, 2, 8, 98, 8, 2, 2, 1, 16, 3, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand eight hundred seventy-eight
- Ordinal
- 472878th
- Binary
- 1110011011100101110
- Octal
- 1633456
- Hexadecimal
- 0x7372E
- Base64
- Bzcu
- One's complement
- 4,294,494,417 (32-bit)
- Scientific notation
- 4.72878 × 10⁵
- As a duration
- 472,878 s = 5 days, 11 hours, 21 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβωοηʹ
- Chinese
- 四十七萬二千八百七十八
- Chinese (financial)
- 肆拾柒萬貳仟捌佰柒拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472878, here are decompositions:
- 19 + 472859 = 472878
- 31 + 472847 = 472878
- 41 + 472837 = 472878
- 47 + 472831 = 472878
- 61 + 472817 = 472878
- 79 + 472799 = 472878
- 127 + 472751 = 472878
- 137 + 472741 = 472878
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.46.
- Address
- 0.7.55.46
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.55.46
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 472,878 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.