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164169928 = 23132921877
BaseRepresentation
bin10011100100100…
…00100011001000
3102102220200210201
421302100203020
5314011414203
624142421544
74032264346
oct1162204310
9372820721
10164169928
118474032a
1246b918b4
1328020790
1417b36996
15e62ce1d
hex9c908c8

164169928 has 48 divisors (see below), whose sum is σ = 343504980. Its totient is φ = 73118976.

The previous prime is 164169913. The next prime is 164169931. The reversal of 164169928 is 829961461.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 64609444 + 99560484 = 8038^2 + 9978^2 .

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, 86526 + ... + 88402.

Almost surely, 2164169928 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 164169928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171752490).

164169928 is an abundant number, since it is smaller than the sum of its proper divisors (179335052).

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

164169928 is a wasteful number, since it uses less digits than its factorization.

164169928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1921 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 164169928 is about 12812.8813309107. The cubic root of 164169928 is about 547.5593541568.

The spelling of 164169928 in words is "one hundred sixty-four million, one hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 841 1508 1682 1877 3016 3364 3754 6728 7508 10933 15016 21866 24401 43732 48802 54433 87464 97604 108866 195208 217732 435464 707629 1415258 1578557 2830516 3157114 5661032 6314228 12628456 20521241 41042482 82084964 164169928