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164058498 = 23230192
BaseRepresentation
bin10011100011101…
…01010110000010
3102102201000221200
421301311112002
5313444332443
624140202030
74031321442
oct1161652602
9372630850
10164058498
118467463a
1246b39316
1327cb1b46
1417b08122
15e609dd3
hex9c75582

164058498 has 18 divisors (see below), whose sum is σ = 355577859. Its totient is φ = 54668052.

The previous prime is 164058491. The next prime is 164058509. The reversal of 164058498 is 894850461.

164058498 is a `hidden beast` number, since 1 + 64 + 0 + 584 + 9 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 82029249 = 9057^2 + 9057^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9057.

It is not an unprimeable number, because it can be changed into a prime (164058491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52833 + ... + 55851.

Almost surely, 2164058498 is an apocalyptic number.

164058498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

164058498 is an abundant number, since it is smaller than the sum of its proper divisors (191519361).

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

164058498 is an frugal number, since it uses more digits than its factorization.

164058498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 164058498 is about 12808.5322344131. The cubic root of 164058498 is about 547.4354411900.

The spelling of 164058498 in words is "one hundred sixty-four million, fifty-eight thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 3019 6038 9057 18114 27171 54342 9114361 18228722 27343083 54686166 82029249 164058498