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16968448 = 28717557
BaseRepresentation
bin100000010111…
…0101100000000
31011221002100001
41000232230000
513320442243
61403405344
7264141460
oct100565400
934832301
1016968448
11963a712
125823854
133691603
142379ba0
151752a4d
hex102eb00

16968448 has 72 divisors (see below), whose sum is σ = 41059872. Its totient is φ = 6832128.

The previous prime is 16968443. The next prime is 16968461. The reversal of 16968448 is 84486961.

It is a junction number, because it is equal to n+sod(n) for n = 16968398 and 16968407.

It is not an unprimeable number, because it can be changed into a prime (16968443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30186 + ... + 30742.

It is an arithmetic number, because the mean of its divisors is an integer number (570276).

Almost surely, 216968448 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 16968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529936).

16968448 is an abundant number, since it is smaller than the sum of its proper divisors (24091424).

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

16968448 is an equidigital number, since it uses as much as digits as its factorization.

16968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 16968448 is about 4119.2776065713. The cubic root of 16968448 is about 256.9689839277.

The spelling of 16968448 in words is "sixteen million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 557 896 952 1088 1114 1792 1904 2176 2228 3808 3899 4352 4456 7616 7798 8912 9469 15232 15596 17824 18938 30464 31192 35648 37876 62384 66283 71296 75752 124768 132566 142592 151504 249536 265132 303008 499072 530264 606016 998144 1060528 1212032 2121056 2424064 4242112 8484224 16968448