Base | Representation |
---|---|
bin | 100000010110010… |
… | …000000000000000 |
3 | 1101211012012101221 |
4 | 200112100000000 |
5 | 2102413003431 |
6 | 125504004424 |
7 | 16306622200 |
oct | 4026200000 |
9 | 1354165357 |
10 | 542703616 |
11 | 259384294 |
12 | 131900714 |
13 | 88587400 |
14 | 52110400 |
15 | 329a1111 |
hex | 20590000 |
542703616 has 153 divisors (see below), whose sum is σ = 1367201601. Its totient is φ = 214695936.
The previous prime is 542703613. The next prime is 542703619. The reversal of 542703616 is 616307245.
It is a happy number.
The square root of 542703616 is 23296.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (542703613) and next prime (542703619).
It can be written as a sum of positive squares in only one way, i.e., 80281600 + 462422016 = 8960^2 + 21504^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (542703611) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41746426 + ... + 41746438.
Almost surely, 2542703616 is an apocalyptic number.
542703616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.
542703616 is the 23296-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 542703616
542703616 is an abundant number, since it is smaller than the sum of its proper divisors (824497985).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
542703616 is an frugal number, since it uses more digits than its factorization.
542703616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72 (or 22 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 34.
The cubic root of 542703616 is about 815.6820496513.
The spelling of 542703616 in words is "five hundred forty-two million, seven hundred three thousand, six hundred sixteen".
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