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68577168 = 24311235647
BaseRepresentation
bin1000001011001…
…10011110010000
311210001002012010
410011212132100
5120023432133
610445502520
71461616302
oct405463620
9153032163
1068577168
113578a050
121ab71a40
131129100a
149171972
156049263
hex4166790

68577168 has 80 divisors (see below), whose sum is σ = 201701376. Its totient is φ = 19873920.

The previous prime is 68577161. The next prime is 68577181. The reversal of 68577168 is 86177586.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68577161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9321 + ... + 14967.

Almost surely, 268577168 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 68577168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100850688).

68577168 is an abundant number, since it is smaller than the sum of its proper divisors (133124208).

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

68577168 is a wasteful number, since it uses less digits than its factorization.

68577168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5686 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 68577168 is about 8281.1332557809. The cubic root of 68577168 is about 409.3170625464.

The spelling of 68577168 in words is "sixty-eight million, five hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 5647 6072 11294 12144 16941 22588 33882 45176 62117 67764 90352 124234 129881 135528 186351 248468 259762 271056 372702 389643 496936 519524 745404 779286 993872 1039048 1428691 1490808 1558572 2078096 2857382 2981616 3117144 4286073 5714764 6234288 8572146 11429528 17144292 22859056 34288584 68577168