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164026688 = 2671093359
BaseRepresentation
bin10011100011011…
…01100101000000
3102102122102022112
421301231211000
5313442323223
624135354452
74031126630
oct1161554500
9372572275
10164026688
1184652751
1246b22a28
1327ca0517
1417ada6c0
15e600778
hex9c6d940

164026688 has 56 divisors (see below), whose sum is σ = 375513600. Its totient is φ = 69631488.

The previous prime is 164026669. The next prime is 164026699. The reversal of 164026688 is 886620461.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47153 + ... + 50511.

It is an arithmetic number, because the mean of its divisors is an integer number (6705600).

Almost surely, 2164026688 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 164026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

164026688 is an abundant number, since it is smaller than the sum of its proper divisors (211486912).

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

164026688 is a wasteful number, since it uses less digits than its factorization.

164026688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 164026688 is about 12807.2904238172. The cubic root of 164026688 is about 547.4000573742.

The spelling of 164026688 in words is "one hundred sixty-four million, twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3359 3488 6104 6718 6976 12208 13436 23513 24416 26872 47026 48832 53744 94052 107488 188104 214976 366131 376208 732262 752416 1464524 1504832 2562917 2929048 5125834 5858096 10251668 11716192 20503336 23432384 41006672 82013344 164026688