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242876161 = 11217711663
BaseRepresentation
bin11100111100111…
…11111100000001
3121221000101110101
432132133330001
5444134014121
640033402401
76006261523
oct1636377401
9557011411
10242876161
11115108500
1269409401
133b41a008
1424383a13
15164c8491
hexe79ff01

242876161 has 24 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 204758400.

The previous prime is 242876149. The next prime is 242876191. The reversal of 242876161 is 161678242.

It is not a de Polignac number, because 242876161 - 25 = 242876129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242876161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242876141) 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 23 ways as a sum of consecutive naturals, for example, 145216 + ... + 146878.

It is an arithmetic number, because the mean of its divisors is an integer number (11950848).

Almost surely, 2242876161 is an apocalyptic number.

It is an amenable number.

242876161 is a deficient number, since it is larger than the sum of its proper divisors (43944191).

242876161 is a wasteful number, since it uses less digits than its factorization.

242876161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1762 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 242876161 is about 15584.4846241382. The cubic root of 242876161 is about 623.9191225238.

The spelling of 242876161 in words is "two hundred forty-two million, eight hundred seventy-six thousand, one hundred sixty-one".

Divisors: 1 11 17 71 121 187 781 1207 1663 2057 8591 13277 18293 28271 118073 146047 201223 310981 1298803 2007241 3420791 14286833 22079651 242876161