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242432765 = 5232151607
BaseRepresentation
bin11100111001100…
…11101011111101
3121220011212020022
432130303223331
5444030322030
640020101525
76002434031
oct1634635375
9556155208
10242432765
11114935363
12692348a5
133b2c3253
14242aa1c1
151643bde5
hexe733afd

242432765 has 24 divisors (see below), whose sum is σ = 306636288. Its totient is φ = 183981600.

The previous prime is 242432747. The next prime is 242432777. The reversal of 242432765 is 567234242.

It is not a de Polignac number, because 242432765 - 222 = 238238461 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399092 + ... + 399698.

It is an arithmetic number, because the mean of its divisors is an integer number (12776512).

Almost surely, 2242432765 is an apocalyptic number.

It is an amenable number.

242432765 is a deficient number, since it is larger than the sum of its proper divisors (64203523).

242432765 is a wasteful number, since it uses less digits than its factorization.

242432765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 786 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 242432765 is about 15570.2525669945. The cubic root of 242432765 is about 623.5392145628.

The spelling of 242432765 in words is "two hundred forty-two million, four hundred thirty-two thousand, seven hundred sixty-five".

Divisors: 1 5 23 115 151 529 607 755 2645 3035 3473 13961 17365 69805 79879 91657 321103 399395 458285 1605515 2108111 10540555 48486553 242432765