Base | Representation |
---|---|
bin | 11011101010000… |
… | …100111110000000 |
3 | 1012100010102020100 |
4 | 123222010332000 |
5 | 1422241441412 |
6 | 114013242400 |
7 | 14333031042 |
oct | 3352047600 |
9 | 1170112210 |
10 | 464015232 |
11 | 218a1956a |
12 | 10b493400 |
13 | 75196035 |
14 | 458a9a92 |
15 | 2ab0aedc |
hex | 1ba84f80 |
464015232 has 96 divisors (see below), whose sum is σ = 1342813680. Its totient is φ = 153796608.
The previous prime is 464015219. The next prime is 464015281. The reversal of 464015232 is 232510464.
464015232 is a `hidden beast` number, since 4 + 640 + 15 + 2 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 464015196 and 464015205.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 221293 + ... + 223379.
Almost surely, 2464015232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 464015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671406840).
464015232 is an abundant number, since it is smaller than the sum of its proper divisors (878798448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464015232 is a wasteful number, since it uses less digits than its factorization.
464015232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2300 (or 2285 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 464015232 is about 21541.0127895603. The cubic root of 464015232 is about 774.1837994686.
Adding to 464015232 its reverse (232510464), we get a palindrome (696525696).
The spelling of 464015232 in words is "four hundred sixty-four million, fifteen thousand, two hundred thirty-two".
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