Base | Representation |
---|---|
bin | 11100111101101… |
… | …10100010110000 |
3 | 121221012002110200 |
4 | 32132312202300 |
5 | 444200000002 |
6 | 40035355200 |
7 | 6010125465 |
oct | 1636664260 |
9 | 557162420 |
10 | 242968752 |
11 | 115171024 |
12 | 69452b00 |
13 | 3b4501c0 |
14 | 243a966c |
15 | 164e5b1c |
hex | e7b68b0 |
242968752 has 120 divisors (see below), whose sum is σ = 739733904. Its totient is φ = 73999872.
The previous prime is 242968741. The next prime is 242968799. The reversal of 242968752 is 257869242.
242968752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 242968698 and 242968707.
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, 199698 + ... + 200910.
Almost surely, 2242968752 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 242968752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369866952).
242968752 is an abundant number, since it is smaller than the sum of its proper divisors (496765152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242968752 is a wasteful number, since it uses less digits than its factorization.
242968752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).
The product of its digits is 483840, while the sum is 45.
The square root of 242968752 is about 15587.4549558291. The cubic root of 242968752 is about 623.9983974318.
The spelling of 242968752 in words is "two hundred forty-two million, nine hundred sixty-eight thousand, seven hundred fifty-two".
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