Search a number
-
+
16556864 = 26614241
BaseRepresentation
bin111111001010…
…001101000000
31011011011202012
4333022031000
513214304424
61350512052
7260505512
oct77121500
934134665
1016556864
119389465
125665628
13357917c
1422adbb2
1516c0b0e
hexfca340

16556864 has 28 divisors (see below), whose sum is σ = 33401508. Its totient is φ = 8140800.

The previous prime is 16556851. The next prime is 16556867. The reversal of 16556864 is 46865561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8761600 + 7795264 = 2960^2 + 2792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16556867) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1784 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (1192911).

Almost surely, 216556864 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 16556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700754).

16556864 is an abundant number, since it is smaller than the sum of its proper divisors (16844644).

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

16556864 is an equidigital number, since it uses as much as digits as its factorization.

16556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4304 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The square root of 16556864 is about 4069.0126566527. The cubic root of 16556864 is about 254.8742889272.

The spelling of 16556864 in words is "sixteen million, five hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 4241 8482 16964 33928 67856 135712 258701 271424 517402 1034804 2069608 4139216 8278432 16556864