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68016288 = 2531933671
BaseRepresentation
bin1000000110111…
…01100010100000
311201222120210210
410003131202200
5114403010123
610425454120
71454062134
oct403354240
9151876723
1068016288
113543670a
121a941340
1311125932
1490673c4
155e87e93
hex40dd8a0

68016288 has 48 divisors (see below), whose sum is σ = 179516736. Its totient is φ = 22548480.

The previous prime is 68016283. The next prime is 68016301. The reversal of 68016288 is 88261086.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (68016283) 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, 16693 + ... + 20363.

It is an arithmetic number, because the mean of its divisors is an integer number (3739932).

Almost surely, 268016288 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 68016288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89758368).

68016288 is an abundant number, since it is smaller than the sum of its proper divisors (111500448).

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

68016288 is a wasteful number, since it uses less digits than its factorization.

68016288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 68016288 is about 8247.1987971674. The cubic root of 68016288 is about 408.1980968049.

The spelling of 68016288 in words is "sixty-eight million, sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 3671 4632 6176 7342 9264 11013 14684 18528 22026 29368 44052 58736 88104 117472 176208 352416 708503 1417006 2125509 2834012 4251018 5668024 8502036 11336048 17004072 22672096 34008144 68016288