| Base | Representation |
|---|---|
| bin | 11011111100011… |
| … | …010111111101000 |
| 3 | 1012200011201200100 |
| 4 | 123330122333220 |
| 5 | 1430004332130 |
| 6 | 114304305400 |
| 7 | 14421636636 |
| oct | 3374327750 |
| 9 | 1180151610 |
| 10 | 468824040 |
| 11 | 220703493 |
| 12 | 111012260 |
| 13 | 7618aa99 |
| 14 | 4639c356 |
| 15 | 2b25ac60 |
| hex | 1bf1afe8 |
468824040 has 192 divisors, whose sum is σ = 1593268560. Its totient is φ = 119439360.
The previous prime is 468824033. The next prime is 468824047. The reversal of 468824040 is 40428864.
It is an interprime number because it is at equal distance from previous prime (468824033) and next prime (468824047).
It can be written as a sum of positive squares in 8 ways, for example, as 328116996 + 140707044 = 18114^2 + 11862^2 .
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 = 468823986 and 468824004.
It is not an unprimeable number, because it can be changed into a prime (468824047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812232 + ... + 812808.
Almost surely, 2468824040 is an apocalyptic number.
468824040 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 468824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796634280).
468824040 is an abundant number, since it is smaller than the sum of its proper divisors (1124444520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
468824040 is a wasteful number, since it uses less digits than its factorization.
468824040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 692 (or 685 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 468824040 is about 21652.3449076538. The cubic root of 468824040 is about 776.8490238010.
The spelling of 468824040 in words is "four hundred sixty-eight million, eight hundred twenty-four thousand, forty".
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