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242610256 = 24723531777
BaseRepresentation
bin11100111010111…
…11000001010000
3121220111212201001
432131133001100
5444102012011
640023551344
76004103350
oct1635370120
9556455631
10242610256
11114a46749
12692bb554
133b355c85
1424314b60
15164747c1
hexe75f050

242610256 has 80 divisors (see below), whose sum is σ = 571463424. Its totient is φ = 97523712.

The previous prime is 242610239. The next prime is 242610299. The reversal of 242610256 is 652016242.

242610256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135640 + ... + 137416.

Almost surely, 2242610256 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 242610256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

242610256 is an abundant number, since it is smaller than the sum of its proper divisors (328853168).

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

242610256 is a wasteful number, since it uses less digits than its factorization.

242610256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 242610256 is about 15575.9512069087. The cubic root of 242610256 is about 623.6913469158.

Adding to 242610256 its reverse (652016242), we get a palindrome (894626498).

The spelling of 242610256 in words is "two hundred forty-two million, six hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 212 322 368 371 424 644 742 848 1219 1288 1484 1777 2438 2576 2968 3554 4876 5936 7108 8533 9752 12439 14216 17066 19504 24878 28432 34132 40871 49756 68264 81742 94181 99512 136528 163484 188362 199024 286097 326968 376724 572194 653936 659267 753448 1144388 1318534 1506896 2166163 2288776 2637068 4332326 4577552 5274136 8664652 10548272 15163141 17329304 30326282 34658608 60652564 121305128 242610256