Base | Representation |
---|---|
bin | 11101000101000… |
… | …01000000000000 |
3 | 121222222212210200 |
4 | 32202201000000 |
5 | 444421212323 |
6 | 40112125200 |
7 | 6021235344 |
oct | 1642410000 |
9 | 558885720 |
10 | 243929088 |
11 | 115767597 |
12 | 69836800 |
13 | 3b6c8350 |
14 | 24579624 |
15 | 16635443 |
hex | e8a1000 |
243929088 has 156 divisors (see below), whose sum is σ = 760288620. Its totient is φ = 74907648.
The previous prime is 243929083. The next prime is 243929089. The reversal of 243929088 is 880929342.
It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 128323584 = 10752^2 + 11328^2 .
It is a tau number, because it is divible by the number of its divisors (156).
It is not an unprimeable number, because it can be changed into a prime (243929083) 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 11 ways as a sum of consecutive naturals, for example, 478978 + ... + 479486.
It is an arithmetic number, because the mean of its divisors is an integer number (4873645).
Almost surely, 2243929088 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 243929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380144310).
243929088 is an abundant number, since it is smaller than the sum of its proper divisors (516359532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243929088 is a wasteful number, since it uses less digits than its factorization.
243929088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 552 (or 527 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 243929088 is about 15618.2293490651. The cubic root of 243929088 is about 624.8194362665.
The spelling of 243929088 in words is "two hundred forty-three million, nine hundred twenty-nine thousand, eighty-eight".
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