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164184642 = 23222340903
BaseRepresentation
bin10011100100101…
…00001001000010
3102102221102222200
421302110021002
5314012402032
624143014030
74032355266
oct1162241102
9372842880
10164184642
1184750396
1246b9a316
132802739b
1417b3c0a6
15e63247c
hex9c94242

164184642 has 24 divisors (see below), whose sum is σ = 357337344. Its totient is φ = 54481464.

The previous prime is 164184617. The next prime is 164184659. The reversal of 164184642 is 246481461.

It is a happy number.

164184642 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 8 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164184597 and 164184606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16438 + ... + 24465.

It is an arithmetic number, because the mean of its divisors is an integer number (14889056).

Almost surely, 2164184642 is an apocalyptic number.

164184642 is an abundant number, since it is smaller than the sum of its proper divisors (193152702).

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

164184642 is a wasteful number, since it uses less digits than its factorization.

164184642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41134 (or 41131 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 164184642 is about 12813.4555058345. The cubic root of 164184642 is about 547.5757123042.

The spelling of 164184642 in words is "one hundred sixty-four million, one hundred eighty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 223 446 669 1338 2007 4014 40903 81806 122709 245418 368127 736254 9121369 18242738 27364107 54728214 82092321 164184642