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16928768 = 2124133
BaseRepresentation
bin100000010010…
…1000000000000
31011212001220102
41000211000000
513313210033
61402501532
7263615003
oct100450000
934761812
1016928768
11961291a
1258048a8
13367952c
14236953a
151745de8
hex1025000

16928768 has 26 divisors (see below), whose sum is σ = 33861594. Its totient is φ = 8462336.

The previous prime is 16928767. The next prime is 16928797. The reversal of 16928768 is 86782961.

It can be written as a sum of positive squares in only one way, i.e., 15745024 + 1183744 = 3968^2 + 1088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16928767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2030 + ... + 6162.

It is an arithmetic number, because the mean of its divisors is an integer number (1302369).

Almost surely, 216928768 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 16928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930797).

16928768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

16928768 is an frugal number, since it uses more digits than its factorization.

16928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4135 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 16928768 is about 4114.4584090740. The cubic root of 16928768 is about 256.7685238803.

The spelling of 16928768 in words is "sixteen million, nine hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4133 8266 16532 33064 66128 132256 264512 529024 1058048 2116096 4232192 8464384 16928768