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242102385 = 3357236599
BaseRepresentation
bin11100110111000…
…11000001110001
3121212120002001000
432123203001301
5443434234020
640005032213
75666556600
oct1633430161
9555502030
10242102385
1111472a118
12690b5669
133b208a65
1424221a37
15163c4090
hexe6e3071

242102385 has 48 divisors (see below), whose sum is σ = 500688000. Its totient is φ = 110672352.

The previous prime is 242102363. The next prime is 242102401. The reversal of 242102385 is 583201242.

242102385 is a `hidden beast` number, since 2 + 421 + 0 + 238 + 5 = 666.

242102385 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 242102385 - 28 = 242102129 is a prime.

It is a super-2 number, since 2×2421023852 = 117227129645376450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11685 + ... + 24914.

It is an arithmetic number, because the mean of its divisors is an integer number (10431000).

Almost surely, 2242102385 is an apocalyptic number.

It is an amenable number.

242102385 is an abundant number, since it is smaller than the sum of its proper divisors (258585615).

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

242102385 is a wasteful number, since it uses less digits than its factorization.

242102385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36627 (or 36614 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 242102385 is about 15559.6396166492. The cubic root of 242102385 is about 623.2558390384.

The spelling of 242102385 in words is "two hundred forty-two million, one hundred two thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 36599 109797 182995 256193 329391 548985 768579 988173 1280965 1646955 1793351 2305737 3842895 4940865 5380053 6917211 8966755 11528685 16140159 26900265 34586055 48420477 80700795 242102385