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242582067 = 3371398731
BaseRepresentation
bin11100111010110…
…00001000110011
3121220110110001000
432131120020303
5444100111232
640023213043
76003625230
oct1635301063
9556413030
10242582067
11114a27552
12692a7183
133b3461b0
1424308787
151646b27c
hexe758233

242582067 has 32 divisors (see below), whose sum is σ = 442319360. Its totient is φ = 127954080.

The previous prime is 242582023. The next prime is 242582077. The reversal of 242582067 is 760285242.

242582067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242582067 - 26 = 242582003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242582077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46909 + ... + 51822.

It is an arithmetic number, because the mean of its divisors is an integer number (13822480).

Almost surely, 2242582067 is an apocalyptic number.

242582067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

242582067 is a deficient number, since it is larger than the sum of its proper divisors (199737293).

242582067 is a wasteful number, since it uses less digits than its factorization.

242582067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98760 (or 98754 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 242582067 is about 15575.0462920660. The cubic root of 242582067 is about 623.6671903164.

The spelling of 242582067 in words is "two hundred forty-two million, five hundred eighty-two thousand, sixty-seven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 98731 296193 691117 888579 1283503 2073351 2665737 3850509 6220053 8984521 11551527 18660159 26953563 34654581 80860689 242582067