| Base | Representation |
|---|---|
| bin | 11011101010011… |
| … | …100100110000000 |
| 3 | 1012100022022222100 |
| 4 | 123222130212000 |
| 5 | 1422303041000 |
| 6 | 114015310400 |
| 7 | 14333613132 |
| oct | 3352344600 |
| 9 | 1170268870 |
| 10 | 464112000 |
| 11 | 218a85240 |
| 12 | 10b51b400 |
| 13 | 751cb0b1 |
| 14 | 458d3052 |
| 15 | 2ab29a00 |
| hex | 1ba9c980 |
464112000 has 384 divisors, whose sum is σ = 1824469920. Its totient is φ = 112128000.
The previous prime is 464111971. The next prime is 464112007. The reversal of 464112000 is 211464.
464112000 is a `hidden beast` number, since 4 + 641 + 1 + 20 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (464112007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583854 + ... + 1584146.
Almost surely, 2464112000 is an apocalyptic number.
464112000 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 464112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912234960).
464112000 is an abundant number, since it is smaller than the sum of its proper divisors (1360357920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464112000 is a wasteful number, since it uses less digits than its factorization.
464112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 339 (or 314 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 464112000 is about 21543.2588064109. The cubic root of 464112000 is about 774.2376130833.
Adding to 464112000 its reverse (211464), we get a palindrome (464323464).
It can be divided in two parts, 4641 and 12000, that added together give a square (16641 = 1292).
The spelling of 464112000 in words is "four hundred sixty-four million, one hundred twelve thousand".
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