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242556 = 223172941
BaseRepresentation
bin111011001101111100
3110022201120
4323031330
530230211
65110540
72030106
oct731574
9408646
10242556
11156266
12b8450
1386532
1464576
154bd06
hex3b37c

242556 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 71680.

The previous prime is 242551. The next prime is 242591. The reversal of 242556 is 655242.

Adding to 242556 its reverse (655242), we get a palindrome (897798).

Subtracting 242556 from its reverse (655242), we obtain a triangular number (412686 = T908).

It can be divided in two parts, 24255 and 6, that multiplied together give a triangular number (145530 = T539).

242556 = 562 + 572 + ... + 962.

242556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

242556 is a nontrivial binomial coefficient, being equal to C(697, 2).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242551) by changing a digit.

242556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5896 + ... + 5936.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2242556 is an apocalyptic number.

It is a pronic number, being equal to 492×493.

242556 is the 696-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

242556 is an abundant number, since it is smaller than the sum of its proper divisors (392484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242556 is a wasteful number, since it uses less digits than its factorization.

242556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 242556 is about 492.4997461928. The cubic root of 242556 is about 62.3644850502.

The spelling of 242556 in words is "two hundred forty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 29 34 41 51 58 68 82 87 102 116 123 164 174 204 246 348 492 493 697 986 1189 1394 1479 1972 2091 2378 2788 2958 3567 4182 4756 5916 7134 8364 14268 20213 40426 60639 80852 121278 242556