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68581728 = 253426459
BaseRepresentation
bin1000001011001…
…11100101100000
311210001022110000
410011213211200
5120024103403
610445540000
71461635505
oct405474540
9153038400
1068581728
1135792516
121ab74600
1311293107
1491734ac
15604a7a3
hex4167960

68581728 has 60 divisors (see below), whose sum is σ = 201704580. Its totient is φ = 22859712.

The previous prime is 68581691. The next prime is 68581729. The reversal of 68581728 is 82718586.

68581728 is a `hidden beast` number, since 68 + 581 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68581729) 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 9 ways as a sum of consecutive naturals, for example, 10638 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (3361743).

Almost surely, 268581728 is an apocalyptic number.

It is an amenable number.

68581728 is an abundant number, since it is smaller than the sum of its proper divisors (133122852).

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

68581728 is a wasteful number, since it uses less digits than its factorization.

68581728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26481 (or 26464 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 68581728 is about 8281.4085758402. The cubic root of 68581728 is about 409.3261347808.

The spelling of 68581728 in words is "sixty-eight million, five hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 26459 52918 79377 105836 158754 211672 238131 317508 423344 476262 635016 714393 846688 952524 1270032 1428786 1905048 2143179 2540064 2857572 3810096 4286358 5715144 7620192 8572716 11430288 17145432 22860576 34290864 68581728