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9916829 = 133532161
BaseRepresentation
bin100101110101…
…000110011101
3200122211022222
4211311012131
510014314304
6552315125
7150202016
oct45650635
920584288
109916829
11566372a
1233a2aa5
132092a60
14146200d
15d0d4be
hex97519d

9916829 has 8 divisors (see below), whose sum is σ = 10714872. Its totient is φ = 9123840.

The previous prime is 9916813. The next prime is 9916843. The reversal of 9916829 is 9286199.

It can be written as a sum of positive squares in 4 ways, for example, as 448900 + 9467929 = 670^2 + 3077^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9916829 - 24 = 9916813 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9916829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9916849) by changing a digit.

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, 3509 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (1339359).

Almost surely, 29916829 is an apocalyptic number.

It is an amenable number.

9916829 is a deficient number, since it is larger than the sum of its proper divisors (798043).

9916829 is a wasteful number, since it uses less digits than its factorization.

9916829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527.

The product of its digits is 69984, while the sum is 44.

The square root of 9916829 is about 3149.0997126163. The cubic root of 9916829 is about 214.8445171151.

The spelling of 9916829 in words is "nine million, nine hundred sixteen thousand, eight hundred twenty-nine".

Divisors: 1 13 353 2161 4589 28093 762833 9916829