Base | Representation |
---|---|
bin | 1111010111000… |
… | …0001000000000 |
3 | 11111012222220211 |
4 | 3311300020000 |
5 | 112443004100 |
6 | 10220443504 |
7 | 1411403260 |
oct | 365601000 |
9 | 144188824 |
10 | 64422400 |
11 | 33401559 |
12 | 196a9594 |
13 | 10467b83 |
14 | 87ad7a0 |
15 | 59c81ba |
hex | 3d70200 |
64422400 has 120 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 22056960.
The previous prime is 64422377. The next prime is 64422409. The reversal of 64422400 is 422446.
It is not an unprimeable number, because it can be changed into a prime (64422409) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89241 + ... + 89959.
It is an arithmetic number, because the mean of its divisors is an integer number (1522224).
Almost surely, 264422400 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 64422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).
64422400 is an abundant number, since it is smaller than the sum of its proper divisors (118244480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64422400 is an equidigital number, since it uses as much as digits as its factorization.
64422400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 754 (or 733 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 64422400 is about 8026.3565831578. The cubic root of 64422400 is about 400.8780710676.
Adding to 64422400 its reverse (422446), we get a palindrome (64844846).
The spelling of 64422400 in words is "sixty-four million, four hundred twenty-two thousand, four hundred".
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