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242307581 = 418297129
BaseRepresentation
bin11100111000101…
…01000111111101
3121212221111111212
432130111013331
5444012320311
640013254205
76001403045
oct1634250775
9555844455
10242307581
1111485a2aa
1269194365
133b27b289
1424276725
1516414c8b
hexe7151fd

242307581 has 8 divisors (see below), whose sum is σ = 248551800. Its totient is φ = 236079360.

The previous prime is 242307539. The next prime is 242307587. The reversal of 242307581 is 185703242.

It can be written as a sum of positive squares in 4 ways, for example, as 11115556 + 231192025 = 3334^2 + 15205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242307581 - 26 = 242307517 is a prime.

It is a super-2 number, since 2×2423075812 = 117425927620143122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242307587) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30425 + ... + 37553.

It is an arithmetic number, because the mean of its divisors is an integer number (31068975).

Almost surely, 2242307581 is an apocalyptic number.

It is an amenable number.

242307581 is a deficient number, since it is larger than the sum of its proper divisors (6244219).

242307581 is an equidigital number, since it uses as much as digits as its factorization.

242307581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 242307581 is about 15566.2320745902. The cubic root of 242307581 is about 623.4318712997.

The spelling of 242307581 in words is "two hundred forty-two million, three hundred seven thousand, five hundred eighty-one".

Divisors: 1 41 829 7129 33989 292289 5909941 242307581