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164641452 = 223231135279
BaseRepresentation
bin10011101000000…
…11101010101100
3102110210122121120
421310003222230
5314122011302
624200500540
74036300143
oct1164035254
9373718546
10164641452
1184a32618
124717a750
13281572a1
1417c1a75a
15e6c29bc
hex9d03aac

164641452 has 48 divisors (see below), whose sum is σ = 404490240. Its totient is φ = 52019968.

The previous prime is 164641417. The next prime is 164641489. The reversal of 164641452 is 254146461.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28549 + ... + 33827.

It is an arithmetic number, because the mean of its divisors is an integer number (8426880).

Almost surely, 2164641452 is an apocalyptic number.

164641452 is a gapful number since it is divisible by the number (12) 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 164641452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

164641452 is an abundant number, since it is smaller than the sum of its proper divisors (239848788).

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

164641452 is a wasteful number, since it uses less digits than its factorization.

164641452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5420 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 164641452 is about 12831.2685265331. The cubic root of 164641452 is about 548.0830809799.

The spelling of 164641452 in words is "one hundred sixty-four million, six hundred forty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 452 678 1356 2599 5198 5279 7797 10396 10558 15594 15837 21116 31188 31674 63348 121417 242834 364251 485668 596527 728502 1193054 1457004 1789581 2386108 3579162 7158324 13720121 27440242 41160363 54880484 82320726 164641452