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164003441 = 726154869
BaseRepresentation
bin10011100011001…
…11111001110001
3102102121020102112
421301213321301
5313441102231
624135055105
74031002100
oct1161477161
9372536375
10164003441
1184637238
1246b11495
1327c92a74
1417ad2037
15e5e892b
hex9c67e71

164003441 has 12 divisors (see below), whose sum is σ = 193910580. Its totient is φ = 138267360.

The previous prime is 164003407. The next prime is 164003443. The reversal of 164003441 is 144300461.

It can be written as a sum of positive squares in 2 ways, for example, as 10144225 + 153859216 = 3185^2 + 12404^2 .

It is a de Polignac number, because none of the positive numbers 2k-164003441 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164003443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24446 + ... + 30423.

It is an arithmetic number, because the mean of its divisors is an integer number (16159215).

Almost surely, 2164003441 is an apocalyptic number.

It is an amenable number.

164003441 is a deficient number, since it is larger than the sum of its proper divisors (29907139).

164003441 is an equidigital number, since it uses as much as digits as its factorization.

164003441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54944 (or 54937 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 164003441 is about 12806.3828226397. The cubic root of 164003441 is about 547.3741957080.

The spelling of 164003441 in words is "one hundred sixty-four million, three thousand, four hundred forty-one".

Divisors: 1 7 49 61 427 2989 54869 384083 2688581 3347009 23429063 164003441