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16993312 = 257107709
BaseRepresentation
bin100000011010…
…0110000100000
31011222100102221
41000310300200
513322241222
61404120424
7264304120
oct100646040
934870387
1016993312
119657366
125836114
13369ca1b
142384c80
15175a0c7
hex1034c20

16993312 has 48 divisors (see below), whose sum is σ = 38646720. Its totient is φ = 7204608.

The previous prime is 16993309. The next prime is 16993313. The reversal of 16993312 is 21339961.

It is not an unprimeable number, because it can be changed into a prime (16993313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23614 + ... + 24322.

It is an arithmetic number, because the mean of its divisors is an integer number (805140).

Almost surely, 216993312 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 16993312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323360).

16993312 is an abundant number, since it is smaller than the sum of its proper divisors (21653408).

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

16993312 is a wasteful number, since it uses less digits than its factorization.

16993312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 16993312 is about 4122.2945067038. The cubic root of 16993312 is about 257.0944355621.

The spelling of 16993312 in words is "sixteen million, nine hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 709 749 856 1418 1498 1712 2836 2996 3424 4963 5672 5992 9926 11344 11984 19852 22688 23968 39704 75863 79408 151726 158816 303452 531041 606904 1062082 1213808 2124164 2427616 4248328 8496656 16993312