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164808 = 23337109
BaseRepresentation
bin101000001111001000
322101002000
4220033020
520233213
63311000
71254330
oct501710
9271060
10164808
11102906
127b460
135a027
14440c0
1533c73
hex283c8

164808 has 64 divisors (see below), whose sum is σ = 528000. Its totient is φ = 46656.

The previous prime is 164789. The next prime is 164809. The reversal of 164808 is 808461.

164808 = T47 + T48 + ... + T102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (164809) by changing a digit.

164808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458 + ... + 1566.

It is an arithmetic number, because the mean of its divisors is an integer number (8250).

2164808 is an apocalyptic number.

164808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264000).

164808 is an abundant number, since it is smaller than the sum of its proper divisors (363192).

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

164808 is a wasteful number, since it uses less digits than its factorization.

164808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164808 is about 405.9655157769. The cubic root of 164808 is about 54.8267828659.

The spelling of 164808 in words is "one hundred sixty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 216 218 252 327 378 436 504 654 756 763 872 981 1308 1512 1526 1962 2289 2616 2943 3052 3924 4578 5886 6104 6867 7848 9156 11772 13734 18312 20601 23544 27468 41202 54936 82404 164808