Base | Representation |
---|---|
bin | 1111010101111… |
… | …1000011000000 |
3 | 11111002102222000 |
4 | 3311133003000 |
5 | 112433234243 |
6 | 10215144000 |
7 | 1410662316 |
oct | 365370300 |
9 | 144072860 |
10 | 64352448 |
11 | 33363a46 |
12 | 19675000 |
13 | 10442094 |
14 | 87920b6 |
15 | 59b25d3 |
hex | 3d5f0c0 |
64352448 has 112 divisors (see below), whose sum is σ = 191170560. Its totient is φ = 21226752.
The previous prime is 64352437. The next prime is 64352461. The reversal of 64352448 is 84425346.
64352448 is a `hidden beast` number, since 643 + 5 + 2 + 4 + 4 + 8 = 666.
64352448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 15 ways as a sum of consecutive naturals, for example, 288465 + ... + 288687.
It is an arithmetic number, because the mean of its divisors is an integer number (1706880).
Almost surely, 264352448 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 64352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95585280).
64352448 is an abundant number, since it is smaller than the sum of its proper divisors (126818112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64352448 is a wasteful number, since it uses less digits than its factorization.
64352448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 411 (or 395 counting only the distinct ones).
The product of its digits is 92160, while the sum is 36.
The square root of 64352448 is about 8021.9977561702. The cubic root of 64352448 is about 400.7329229065.
Adding to 64352448 its sum of digits (36), we get a square (64352484 = 80222).
The spelling of 64352448 in words is "sixty-four million, three hundred fifty-two thousand, four hundred forty-eight".
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