Base | Representation |
---|---|
bin | 1011000001001… |
… | …0101000000000 |
3 | 10012221220012000 |
4 | 2300102220000 |
5 | 43312314012 |
6 | 4330304000 |
7 | 1100544423 |
oct | 260225000 |
9 | 105856160 |
10 | 46213632 |
11 | 240a4a93 |
12 | 13588000 |
13 | 9760b5a |
14 | 61cd9ba |
15 | 40ccddc |
hex | 2c12a00 |
46213632 has 80 divisors (see below), whose sum is σ = 136836480. Its totient is φ = 15399936.
The previous prime is 46213627. The next prime is 46213679. The reversal of 46213632 is 23631264.
46213632 is a `hidden beast` number, since 4 + 6 + 21 + 3 + 632 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 46213596 and 46213605.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12153 + ... + 15495.
It is an arithmetic number, because the mean of its divisors is an integer number (1710456).
Almost surely, 246213632 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 46213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68418240).
46213632 is an abundant number, since it is smaller than the sum of its proper divisors (90622848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46213632 is an equidigital number, since it uses as much as digits as its factorization.
46213632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3370 (or 3348 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
The square root of 46213632 is about 6798.0608999920. The cubic root of 46213632 is about 358.8586072204.
Adding to 46213632 its reverse (23631264), we get a palindrome (69844896).
The spelling of 46213632 in words is "forty-six million, two hundred thirteen thousand, six hundred thirty-two".
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