Base | Representation |
---|---|
bin | 1011000011101… |
… | …1110100000000 |
3 | 10020021110121022 |
4 | 2300323310000 |
5 | 43333213321 |
6 | 4334045012 |
7 | 1102146320 |
oct | 260736400 |
9 | 106243538 |
10 | 46382336 |
11 | 241aa810 |
12 | 13649768 |
13 | 97bc890 |
14 | 6235280 |
15 | 4112dab |
hex | 2c3bd00 |
46382336 has 144 divisors (see below), whose sum is σ = 124994688. Its totient is φ = 16588800.
The previous prime is 46382333. The next prime is 46382377. The reversal of 46382336 is 63328364.
It is a junction number, because it is equal to n+sod(n) for n = 46382296 and 46382305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46382333) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256166 + ... + 256346.
Almost surely, 246382336 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 46382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62497344).
46382336 is an abundant number, since it is smaller than the sum of its proper divisors (78612352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46382336 is a wasteful number, since it uses less digits than its factorization.
46382336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 228 (or 214 counting only the distinct ones).
The product of its digits is 62208, while the sum is 35.
The square root of 46382336 is about 6810.4578407035. The cubic root of 46382336 is about 359.2947509890.
The spelling of 46382336 in words is "forty-six million, three hundred eighty-two thousand, three hundred thirty-six".
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