Base | Representation |
---|---|
bin | 100001001010000… |
… | …110100000000000 |
3 | 1102202202202220200 |
4 | 201022012200000 |
5 | 2114402434232 |
6 | 131111205200 |
7 | 16533303534 |
oct | 4112064000 |
9 | 1382682820 |
10 | 556296192 |
11 | 266018621 |
12 | 136376800 |
13 | 8b33625a |
14 | 53c4bbc4 |
15 | 33c8877c |
hex | 21286800 |
556296192 has 72 divisors (see below), whose sum is σ = 1606738770. Its totient is φ = 185425920.
The previous prime is 556296163. The next prime is 556296197. The reversal of 556296192 is 291692655.
It is a happy number.
556296192 is a `hidden beast` number, since 5 + 5 + 6 + 29 + 619 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 483296256 + 72999936 = 21984^2 + 8544^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (556296197) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 3342 + ... + 33522.
Almost surely, 2556296192 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 556296192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803369385).
556296192 is an abundant number, since it is smaller than the sum of its proper divisors (1050442578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
556296192 is a wasteful number, since it uses less digits than its factorization.
556296192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30209 (or 30186 counting only the distinct ones).
The product of its digits is 291600, while the sum is 45.
The square root of 556296192 is about 23585.9320782538. The cubic root of 556296192 is about 822.4358425334.
The spelling of 556296192 in words is "five hundred fifty-six million, two hundred ninety-six thousand, one hundred ninety-two".
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