Base | Representation |
---|---|
bin | 11100111011011… |
… | …01100110000000 |
3 | 121220121220121000 |
4 | 32131231212000 |
5 | 444110414302 |
6 | 40025132000 |
7 | 6004442400 |
oct | 1635554600 |
9 | 556556530 |
10 | 242669952 |
11 | 114a87588 |
12 | 6932a000 |
13 | 3b3771b5 |
14 | 2432c800 |
15 | 1648731c |
hex | e76d980 |
242669952 has 192 divisors, whose sum is σ = 833727600. Its totient is φ = 69285888.
The previous prime is 242669929. The next prime is 242669969. The reversal of 242669952 is 259966242.
242669952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 242669898 and 242669907.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168628 + ... + 170060.
Almost surely, 2242669952 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 242669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416863800).
242669952 is an abundant number, since it is smaller than the sum of its proper divisors (591057648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242669952 is a wasteful number, since it uses less digits than its factorization.
242669952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1470 (or 1445 counting only the distinct ones).
The product of its digits is 466560, while the sum is 45.
The square root of 242669952 is about 15577.8673765057. The cubic root of 242669952 is about 623.7424973027.
The spelling of 242669952 in words is "two hundred forty-two million, six hundred sixty-nine thousand, nine hundred fifty-two".
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