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164708852 = 227111783379
BaseRepresentation
bin10011101000101…
…00000111110100
3102110221002001212
421310110013310
5314131140402
624202140552
74040000510
oct1164240764
9373832055
10164708852
1184a79220
12471b1758
132817bb79
1417c37140
15e6d7952
hex9d141f4

164708852 has 96 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 59512320.

The previous prime is 164708851. The next prime is 164708861. The reversal of 164708852 is 258807461.

164708852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164708851) 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 31 ways as a sum of consecutive naturals, for example, 434399 + ... + 434777.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2164708852 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 164708852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

164708852 is an abundant number, since it is smaller than the sum of its proper divisors (221395468).

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

164708852 is a wasteful number, since it uses less digits than its factorization.

164708852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 164708852 is about 12833.8946543908. The cubic root of 164708852 is about 548.1578611755.

The spelling of 164708852 in words is "one hundred sixty-four million, seven hundred eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 83 119 154 166 187 238 308 332 374 379 476 581 748 758 913 1162 1309 1411 1516 1826 2324 2618 2653 2822 3652 4169 5236 5306 5644 6391 6443 8338 9877 10612 12782 12886 15521 16676 19754 25564 25772 29183 31042 31457 39508 45101 58366 62084 62914 70873 90202 108647 116732 125828 141746 180404 217294 220199 283492 346027 434588 440398 496111 534769 692054 880796 992222 1069538 1384108 1984444 2139076 2422189 3743383 4844378 5882459 7486766 9688756 11764918 14973532 23529836 41177213 82354426 164708852