Base | Representation |
---|---|
bin | 10011110010000000000 |
3 | 1012221011010 |
4 | 2132100000 |
5 | 131220232 |
6 | 21520520 |
7 | 5336526 |
oct | 2362000 |
9 | 1187133 |
10 | 648192 |
11 | 402aa6 |
12 | 273140 |
13 | 19905c |
14 | 12c316 |
15 | cc0cc |
hex | 9e400 |
648192 has 44 divisors (see below), whose sum is σ = 1735856. Its totient is φ = 215040.
The previous prime is 648191. The next prime is 648199. The reversal of 648192 is 291846.
648192 is nontrivially palindromic in base 15.
Its product of digits (3456) is a multiple of the sum of its prime divisors (216).
It is not an unprimeable number, because it can be changed into a prime (648191) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2967 + ... + 3177.
2648192 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 648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867928).
648192 is an abundant number, since it is smaller than the sum of its proper divisors (1087664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
648192 is a wasteful number, since it uses less digits than its factorization.
648192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 234 (or 216 counting only the distinct ones).
The product of its digits is 3456, while the sum is 30.
The square root of 648192 is about 805.1037200262. The cubic root of 648192 is about 86.5435200386.
It can be divided in two parts, 64 and 8192, that multiplied together give a 19-th power (524288 = 219).
The spelling of 648192 in words is "six hundred forty-eight thousand, one hundred ninety-two".
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