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16768242 = 233232587
BaseRepresentation
bin111111111101…
…110011110010
31011112220201000
4333331303302
513243040432
61355222430
7262346001
oct77756362
934486630
1016768242
119513257
125747a16
13362144a
142326c38
15171357c
hexffdcf2

16768242 has 48 divisors (see below), whose sum is σ = 39019680. Its totient is φ = 5337288.

The previous prime is 16768231. The next prime is 16768243. The reversal of 16768242 is 24286761.

It is a junction number, because it is equal to n+sod(n) for n = 16768197 and 16768206.

It is not an unprimeable number, because it can be changed into a prime (16768243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28273 + ... + 28859.

It is an arithmetic number, because the mean of its divisors is an integer number (812910).

Almost surely, 216768242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16768242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509840).

16768242 is an abundant number, since it is smaller than the sum of its proper divisors (22251438).

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

16768242 is a wasteful number, since it uses less digits than its factorization.

16768242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 615 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 16768242 is about 4094.9043944883. The cubic root of 16768242 is about 255.9543477350.

The spelling of 16768242 in words is "sixteen million, seven hundred sixty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 587 621 1058 1174 1242 1587 1761 3174 3522 4761 5283 9522 10566 13501 14283 15849 27002 28566 31698 40503 81006 121509 243018 310523 364527 621046 729054 931569 1863138 2794707 5589414 8384121 16768242