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164450556 = 223247831171
BaseRepresentation
bin10011100110101…
…01000011111100
3102110102221202100
421303111003330
5314044404211
624152425100
74034543454
oct1163250374
9373387670
10164450556
1184912156
12470a8190
13280bb42a
1417baad64
15e686156
hex9cd50fc

164450556 has 72 divisors (see below), whose sum is σ = 430020864. Its totient is φ = 52958880.

The previous prime is 164450527. The next prime is 164450569. The reversal of 164450556 is 655054461.

164450556 = T1949 + T1950 + ... + T2031.

164450556 is a `hidden beast` number, since 1 + 64 + 45 + 0 + 556 = 666.

164450556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164450556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139851 + ... + 141021.

It is an arithmetic number, because the mean of its divisors is an integer number (5972512).

Almost surely, 2164450556 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 164450556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215010432).

164450556 is an abundant number, since it is smaller than the sum of its proper divisors (265570308).

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

164450556 is a wasteful number, since it uses less digits than its factorization.

164450556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 164450556 is about 12823.8276657167. The cubic root of 164450556 is about 547.8711713430.

The spelling of 164450556 in words is "one hundred sixty-four million, four hundred fifty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 83 94 141 166 188 249 282 332 423 498 564 747 846 996 1171 1494 1692 2342 2988 3513 3901 4684 7026 7802 10539 11703 14052 15604 21078 23406 35109 42156 46812 55037 70218 97193 110074 140436 165111 194386 220148 291579 330222 388772 495333 583158 660444 874737 990666 1166316 1749474 1981332 3498948 4568071 9136142 13704213 18272284 27408426 41112639 54816852 82225278 164450556