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242539641 = 3241657289
BaseRepresentation
bin11100111010011…
…01110001111001
3121220101021211200
432131031301321
5444042232031
640022244413
76003360441
oct1635156171
9556337750
10242539641
111149a8693
1269286709
133b32caa6
14242d7121
151645d8e6
hexe74dc79

242539641 has 12 divisors (see below), whose sum is σ = 358880340. Its totient is φ = 157749120.

The previous prime is 242539613. The next prime is 242539679. The reversal of 242539641 is 146935242.

It is a happy number.

242539641 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 3 + 9 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 207965241 = 5880^2 + 14421^2 .

It is not a de Polignac number, because 242539641 - 27 = 242539513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242539596 and 242539605.

It is not an unprimeable number, because it can be changed into a prime (242539741) 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 11 ways as a sum of consecutive naturals, for example, 328276 + ... + 329013.

It is an arithmetic number, because the mean of its divisors is an integer number (29906695).

Almost surely, 2242539641 is an apocalyptic number.

It is an amenable number.

242539641 is a deficient number, since it is larger than the sum of its proper divisors (116340699).

242539641 is a wasteful number, since it uses less digits than its factorization.

242539641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657336 (or 657333 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 242539641 is about 15573.6842461891. The cubic root of 242539641 is about 623.6308297735.

The spelling of 242539641 in words is "two hundred forty-two million, five hundred thirty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 41 123 369 657289 1971867 5915601 26948849 80846547 242539641