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164195328 = 21031143113
BaseRepresentation
bin10011100100101…
…10110000000000
3102102221222122110
421302112300000
5314013222303
624143135320
74032431403
oct1162266000
9372858573
10164195328
1184758420
1246ba4540
132802c1cb
1417b41d3a
15e635703
hex9c96c00

164195328 has 176 divisors, whose sum is σ = 492852096. Its totient is φ = 48168960.

The previous prime is 164195309. The next prime is 164195341. The reversal of 164195328 is 823591461.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453000 + ... + 1453112.

It is an arithmetic number, because the mean of its divisors is an integer number (2800296).

Almost surely, 2164195328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246426048).

164195328 is an abundant number, since it is smaller than the sum of its proper divisors (328656768).

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

164195328 is a wasteful number, since it uses less digits than its factorization.

164195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 164195328 is about 12813.8724825870. The cubic root of 164195328 is about 547.5875917489.

It can be divided in two parts, 1641 and 95328, that added together give a palindrome (96969).

The spelling of 164195328 in words is "one hundred sixty-four million, one hundred ninety-five thousand, three hundred twenty-eight".