| Base | Representation |
|---|---|
| bin | 11011100111101… |
| … | …011110110001000 |
| 3 | 1012021221112220000 |
| 4 | 123213223312020 |
| 5 | 1422111404130 |
| 6 | 113552003000 |
| 7 | 14324506353 |
| oct | 3347536610 |
| 9 | 1167845800 |
| 10 | 463388040 |
| 11 | 218630325 |
| 12 | 10b230460 |
| 13 | 7500670b |
| 14 | 4578529a |
| 15 | 2aa35260 |
| hex | 1b9ebd88 |
463388040 has 320 divisors, whose sum is σ = 1693612800. Its totient is φ = 113190912.
The previous prime is 463388033. The next prime is 463388047. The reversal of 463388040 is 40883364.
It is an interprime number because it is at equal distance from previous prime (463388033) and next prime (463388047).
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 = 463387986 and 463388004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (463388047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2588671 + ... + 2588849.
It is an arithmetic number, because the mean of its divisors is an integer number (5292540).
Almost surely, 2463388040 is an apocalyptic number.
463388040 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 463388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846806400).
463388040 is an abundant number, since it is smaller than the sum of its proper divisors (1230224760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
463388040 is a wasteful number, since it uses less digits than its factorization.
463388040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 463388040 is about 21526.4497769604. The cubic root of 463388040 is about 773.8348304489.
The spelling of 463388040 in words is "four hundred sixty-three million, three hundred eighty-eight thousand, forty".
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