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16561216 = 26725281
BaseRepresentation
bin111111001011…
…010001000000
31011011101201101
4333023101000
513214424331
61350544144
7260524300
oct77132100
934141641
1016561216
119391761
125668054
13357b149
1422b1600
1516c2061
hexfcb440

16561216 has 42 divisors (see below), whose sum is σ = 38236398. Its totient is φ = 7096320.

The previous prime is 16561211. The next prime is 16561243. The reversal of 16561216 is 61216561.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 5271616 = 3360^2 + 2296^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16561211) 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 5 ways as a sum of consecutive naturals, for example, 496 + ... + 5776.

Almost surely, 216561216 is an apocalyptic number.

16561216 is a gapful number since it is divisible by the number (16) 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 16561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118199).

16561216 is an abundant number, since it is smaller than the sum of its proper divisors (21675182).

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

16561216 is an equidigital number, since it uses as much as digits as its factorization.

16561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5290 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 16561216 is about 4069.5473949814. The cubic root of 16561216 is about 254.8966183517.

Adding to 16561216 its reverse (61216561), we get a palindrome (77777777).

The spelling of 16561216 in words is "sixteen million, five hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5281 10562 21124 36967 42248 73934 84496 147868 168992 258769 295736 337984 517538 591472 1035076 1182944 2070152 2365888 4140304 8280608 16561216