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16414928 = 2417292081
BaseRepresentation
bin111110100111…
…100011010000
31010212222001022
4332213203100
513200234203
61343455012
7256344635
oct76474320
933788038
1016414928
1192a1862
1255b7468
13352969a
14227418c
151693a38
hexfa78d0

16414928 has 40 divisors (see below), whose sum is σ = 34852680. Its totient is φ = 7454720.

The previous prime is 16414919. The next prime is 16414943. The reversal of 16414928 is 82941461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 12759184 = 1912^2 + 3572^2 .

It is a super-2 number, since 2×164149282 = 538899722490368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6848 + ... + 8928.

It is an arithmetic number, because the mean of its divisors is an integer number (871317).

Almost surely, 216414928 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 16414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426340).

16414928 is an abundant number, since it is smaller than the sum of its proper divisors (18437752).

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

16414928 is a wasteful number, since it uses less digits than its factorization.

16414928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2129 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 16414928 is about 4051.5340304630. The cubic root of 16414928 is about 254.1438827676.

The spelling of 16414928 in words is "sixteen million, four hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 2081 3944 4162 7888 8324 16648 33296 35377 60349 70754 120698 141508 241396 283016 482792 566032 965584 1025933 2051866 4103732 8207464 16414928