Base | Representation |
---|---|
bin | 11100100110011… |
… | …010010000000000 |
3 | 1020102212221110000 |
4 | 130212122100000 |
5 | 1440314043130 |
6 | 115340240000 |
7 | 14614332213 |
oct | 3446322000 |
9 | 1212787400 |
10 | 479831040 |
11 | 226941187 |
12 | 114840000 |
13 | 78542ac0 |
14 | 47a2577a |
15 | 2c1d2260 |
hex | 1c99a400 |
479831040 has 440 divisors, whose sum is σ = 1872513720. Its totient is φ = 116785152.
The previous prime is 479831017. The next prime is 479831147. The reversal of 479831040 is 40138974.
It is a happy number.
479831040 is a `hidden beast` number, since 479 + 83 + 104 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 479084544 = 864^2 + 21888^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 479830986 and 479831004.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1068 × 468 × 960.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391316 + ... + 5391404.
It is an arithmetic number, because the mean of its divisors is an integer number (4255713).
Almost surely, 2479831040 is an apocalyptic number.
479831040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 479831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936256860).
479831040 is an abundant number, since it is smaller than the sum of its proper divisors (1392682680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
479831040 is a wasteful number, since it uses less digits than its factorization.
479831040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 139 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 479831040 is about 21905.0459940170. The cubic root of 479831040 is about 782.8816485584.
The spelling of 479831040 in words is "four hundred seventy-nine million, eight hundred thirty-one thousand, forty".
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