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242521335 = 32572109987
BaseRepresentation
bin11100111010010…
…01010011110111
3121220100100201200
432131021103313
5444041140320
640022023543
76003253200
oct1635112367
9556310650
10242521335
11114995961
1269277bb3
133b324664
14242d05a7
1516458290
hexe7494f7

242521335 has 36 divisors (see below), whose sum is σ = 489006648. Its totient is φ = 110865888.

The previous prime is 242521319. The next prime is 242521369. The reversal of 242521335 is 533125242.

It is a happy number.

It is not a de Polignac number, because 242521335 - 24 = 242521319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242521299 and 242521308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52789 + ... + 57198.

It is an arithmetic number, because the mean of its divisors is an integer number (13583518).

Almost surely, 2242521335 is an apocalyptic number.

242521335 is an abundant number, since it is smaller than the sum of its proper divisors (246485313).

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

242521335 is a wasteful number, since it uses less digits than its factorization.

242521335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110012 (or 110002 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 242521335 is about 15573.0965128968. The cubic root of 242521335 is about 623.6151395917.

Adding to 242521335 its reverse (533125242), we get a palindrome (775646577).

The spelling of 242521335 in words is "two hundred forty-two million, five hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 109987 329961 549935 769909 989883 1649805 2309727 3849545 4949415 5389363 6929181 11548635 16168089 26946815 34645905 48504267 80840445 242521335