Base | Representation |
---|---|
bin | 100001100111010… |
… | …100110100000000 |
3 | 1110022011222120000 |
4 | 201213110310000 |
5 | 2123333110432 |
6 | 131543320000 |
7 | 16655361324 |
oct | 4147246400 |
9 | 1408158500 |
10 | 563956992 |
11 | 26a380265 |
12 | 138a50000 |
13 | 8cab9181 |
14 | 54c83984 |
15 | 3479d57c |
hex | 219d4d00 |
563956992 has 90 divisors (see below), whose sum is σ = 1681679538. Its totient is φ = 187978752.
The previous prime is 563956973. The next prime is 563957003. The reversal of 563956992 is 299659365.
It can be written as a sum of positive squares in only one way, i.e., 491774976 + 72182016 = 22176^2 + 8496^2 .
It is a super-3 number, since 3×5639569923 (a number of 27 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7138 + ... + 34334.
Almost surely, 2563956992 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 563956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840839769).
563956992 is an abundant number, since it is smaller than the sum of its proper divisors (1117722546).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
563956992 is an equidigital number, since it uses as much as digits as its factorization.
563956992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27225 (or 27202 counting only the distinct ones).
The product of its digits is 3936600, while the sum is 54.
The square root of 563956992 is about 23747.7786750677. The cubic root of 563956992 is about 826.1939209385.
The spelling of 563956992 in words is "five hundred sixty-three million, nine hundred fifty-six thousand, nine hundred ninety-two".
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