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16826016 = 253533307
BaseRepresentation
bin100000000101…
…1111010100000
31011122211221210
41000023322200
513301413031
61400350120
7263006304
oct100137240
934584853
1016826016
1195526a9
125775340
13364182c
14233dd04
151725746
hex100bea0

16826016 has 48 divisors (see below), whose sum is σ = 45015264. Its totient is φ = 5501184.

The previous prime is 16825997. The next prime is 16826023. The reversal of 16826016 is 61062861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×168260162 = 566229628864512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3435 + ... + 6741.

It is an arithmetic number, because the mean of its divisors is an integer number (937818).

Almost surely, 216826016 is an apocalyptic number.

16826016 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 16826016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22507632).

16826016 is an abundant number, since it is smaller than the sum of its proper divisors (28189248).

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

16826016 is a wasteful number, since it uses less digits than its factorization.

16826016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 16826016 is about 4101.9527057244. The cubic root of 16826016 is about 256.2479693672.

Adding to 16826016 its reverse (61062861), we get a palindrome (77888877).

The spelling of 16826016 in words is "sixteen million, eight hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 3307 5088 6614 9921 13228 19842 26456 39684 52912 79368 105824 158736 175271 317472 350542 525813 701084 1051626 1402168 2103252 2804336 4206504 5608672 8413008 16826016