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242808242 = 229101181229
BaseRepresentation
bin11100111100011…
…11010110110010
3121220212221021212
432132033112302
5444124330432
640032120122
76005556515
oct1636172662
9556787255
10242808242
11115071476
1269396042
133b3c5121
1424366d7c
15164b32b2
hexe78f5b2

242808242 has 32 divisors (see below), whose sum is σ = 384274800. Its totient is φ = 114912000.

The previous prime is 242808233. The next prime is 242808257.

It is a happy number.

242808242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 174266401 + 68541841 = 13201^2 + 8279^2 .

It is a super-3 number, since 3×2428082423 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242808199 and 242808208.

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 15 ways as a sum of consecutive naturals, for example, 1060184 + ... + 1060412.

Almost surely, 2242808242 is an apocalyptic number.

242808242 is a deficient number, since it is larger than the sum of its proper divisors (141466558).

242808242 is a wasteful number, since it uses less digits than its factorization.

242808242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 242808242 is about 15582.3054135131. The cubic root of 242808242 is about 623.8609585698.

The spelling of 242808242 in words is "two hundred forty-two million, eight hundred eight thousand, two hundred forty-two".

Divisors: 1 2 29 58 101 181 202 229 362 458 2929 5249 5858 6641 10498 13282 18281 23129 36562 41449 46258 82898 530149 670741 1060298 1202021 1341482 2404042 4186349 8372698 121404121 242808242