Base | Representation |
---|---|
bin | 1111010110110… |
… | …1110100000000 |
3 | 11111012111221000 |
4 | 3311231310000 |
5 | 112442203203 |
6 | 10220332000 |
7 | 1411333536 |
oct | 365556400 |
9 | 144174830 |
10 | 64412928 |
11 | 333a5428 |
12 | 196a4000 |
13 | 10463778 |
14 | 87aa156 |
15 | 59c54a3 |
hex | 3d6dd00 |
64412928 has 72 divisors (see below), whose sum is σ = 190500800. Its totient is φ = 21468672.
The previous prime is 64412923. The next prime is 64412939. The reversal of 64412928 is 82921446.
64412928 is a `hidden beast` number, since 644 + 1 + 2 + 9 + 2 + 8 = 666.
64412928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 = 64412892 and 64412901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64412923) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 2253 + ... + 11571.
Almost surely, 264412928 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 64412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95250400).
64412928 is an abundant number, since it is smaller than the sum of its proper divisors (126087872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64412928 is an equidigital number, since it uses as much as digits as its factorization.
64412928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9344 (or 9324 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 64412928 is about 8025.7665054498. The cubic root of 64412928 is about 400.8584231232.
The spelling of 64412928 in words is "sixty-four million, four hundred twelve thousand, nine hundred twenty-eight".
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