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164172256 = 2537313443
BaseRepresentation
bin10011100100100…
…01000111100000
3102102220210222221
421302101013200
5314012003011
624142440424
74032304213
oct1162210740
9372823887
10164172256
1184742056
1246b93114
1328021861
1417b3777a
15e62d971
hex9c911e0

164172256 has 48 divisors (see below), whose sum is σ = 333761904. Its totient is φ = 79432704.

The previous prime is 164172199. The next prime is 164172263. The reversal of 164172256 is 652271461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370371 + ... + 370813.

It is an arithmetic number, because the mean of its divisors is an integer number (6953373).

Almost surely, 2164172256 is an apocalyptic number.

164172256 is a gapful number since it is divisible by the number (16) 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 164172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166880952).

164172256 is an abundant number, since it is smaller than the sum of its proper divisors (169589648).

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

164172256 is a wasteful number, since it uses less digits than its factorization.

164172256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 164172256 is about 12812.9721766653. The cubic root of 164172256 is about 547.5619423534.

The spelling of 164172256 in words is "one hundred sixty-four million, one hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 313 443 592 626 886 1184 1252 1772 2504 3544 5008 7088 10016 11581 14176 16391 23162 32782 46324 65564 92648 131128 138659 185296 262256 277318 370592 524512 554636 1109272 2218544 4437088 5130383 10260766 20521532 41043064 82086128 164172256