Search a number
-
+
166656648 = 23343167967
BaseRepresentation
bin10011110111011…
…11101010001000
3102121121000221110
421323233222020
5320131003043
624312010320
74062362304
oct1173575210
9377530843
10166656648
1186089674
12479909a0
13286b1602
14181c2d04
15e96eb33
hex9eefa88

166656648 has 64 divisors (see below), whose sum is σ = 429327360. Its totient is φ = 53879616.

The previous prime is 166656647. The next prime is 166656709. The reversal of 166656648 is 846656661.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 166656597 and 166656606.

It is not an unprimeable number, because it can be changed into a prime (166656647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171861 + ... + 172827.

It is an arithmetic number, because the mean of its divisors is an integer number (6708240).

Almost surely, 2166656648 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 166656648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214663680).

166656648 is an abundant number, since it is smaller than the sum of its proper divisors (262670712).

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

166656648 is a wasteful number, since it uses less digits than its factorization.

166656648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 166656648 is about 12909.5564602352. The cubic root of 166656648 is about 550.3101809587.

The spelling of 166656648 in words is "one hundred sixty-six million, six hundred fifty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 167 172 258 334 344 501 516 668 967 1002 1032 1336 1934 2004 2901 3868 4008 5802 7181 7736 11604 14362 21543 23208 28724 41581 43086 57448 83162 86172 124743 161489 166324 172344 249486 322978 332648 484467 498972 645956 968934 997944 1291912 1937868 3875736 6944027 13888054 20832081 27776108 41664162 55552216 83328324 166656648