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67989888 = 2733103191
BaseRepresentation
bin1000000110101…
…11000110000000
311201221020121000
410003113012000
5114401134023
610425132000
71453622151
oct403270600
9151836530
1067989888
113541889a
121a92a000
1311116905
14905b928
155e80243
hex40d7180

67989888 has 128 divisors (see below), whose sum is σ = 203673600. Its totient is φ = 22325760.

The previous prime is 67989881. The next prime is 67989893. The reversal of 67989888 is 88898976.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67989881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355873 + ... + 356063.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 267989888 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 67989888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101836800).

67989888 is an abundant number, since it is smaller than the sum of its proper divisors (135683712).

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

67989888 is a wasteful number, since it uses less digits than its factorization.

67989888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The square root of 67989888 is about 8245.5980983795. The cubic root of 67989888 is about 408.1452769847.

The spelling of 67989888 in words is "sixty-seven million, nine hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 191 192 206 216 288 309 382 384 412 432 573 576 618 764 824 864 927 1146 1152 1236 1528 1648 1719 1728 1854 2292 2472 2781 3056 3296 3438 3456 3708 4584 4944 5157 5562 6112 6592 6876 7416 9168 9888 10314 11124 12224 13184 13752 14832 18336 19673 19776 20628 22248 24448 27504 29664 36672 39346 39552 41256 44496 55008 59019 59328 73344 78692 82512 88992 110016 118038 118656 157384 165024 177057 177984 220032 236076 314768 330048 354114 355968 472152 531171 629536 660096 708228 944304 1062342 1259072 1416456 1888608 2124684 2518144 2832912 3777216 4249368 5665824 7554432 8498736 11331648 16997472 22663296 33994944 67989888