Search a number
-
+
16775648 = 25232991
BaseRepresentation
bin111111111111…
…100111100000
31011120021212022
4333333213200
513243310043
61355321012
7262406411
oct77774740
934507768
1016775648
11951887a
125750168
133624926
142329808
151715868
hexfff9e0

16775648 has 36 divisors (see below), whose sum is σ = 34560288. Its totient is φ = 8015040.

The previous prime is 16775639. The next prime is 16775653. The reversal of 16775648 is 84657761.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 16775599 and 16775608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16433 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (960008).

Almost surely, 216775648 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 16775648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280144).

16775648 is an abundant number, since it is smaller than the sum of its proper divisors (17784640).

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

16775648 is an equidigital number, since it uses as much as digits as its factorization.

16775648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1016 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 16775648 is about 4095.8085892776. The cubic root of 16775648 is about 255.9920244911.

The spelling of 16775648 in words is "sixteen million, seven hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 991 1058 1982 2116 3964 4232 7928 8464 15856 16928 22793 31712 45586 91172 182344 364688 524239 729376 1048478 2096956 4193912 8387824 16775648