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68286528 = 26321031151
BaseRepresentation
bin1000001000111…
…11100001000000
311202111022111200
410010133201000
5114440132103
610435341200
71456266042
oct404374100
9152438450
1068286528
1135600752
121aa51800
13111bb93b
1490d7a92
155edd0a3
hex411f840

68286528 has 84 divisors (see below), whose sum is σ = 197803008. Its totient is φ = 22521600.

The previous prime is 68286523. The next prime is 68286553. The reversal of 68286528 is 82568286.

It is not an unprimeable number, because it can be changed into a prime (68286523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58753 + ... + 59903.

Almost surely, 268286528 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 68286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98901504).

68286528 is an abundant number, since it is smaller than the sum of its proper divisors (129516480).

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

68286528 is a wasteful number, since it uses less digits than its factorization.

68286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1259 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 68286528 is about 8263.5663003330. The cubic root of 68286528 is about 408.7379953268.

The spelling of 68286528 in words is "sixty-eight million, two hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1151 1236 1648 1854 2302 2472 3296 3453 3708 4604 4944 6592 6906 7416 9208 9888 10359 13812 14832 18416 19776 20718 27624 29664 36832 41436 55248 59328 73664 82872 110496 118553 165744 220992 237106 331488 355659 474212 662976 711318 948424 1066977 1422636 1896848 2133954 2845272 3793696 4267908 5690544 7587392 8535816 11381088 17071632 22762176 34143264 68286528