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68776596 = 223272127307
BaseRepresentation
bin1000001100101…
…11001010010100
311210102012202100
410012113022110
5120101322341
610454042100
71463406600
oct406271224
9153365670
1068776596
1135905969
121b049330
1311330a15
1491c4500
1560883b6
hex4197294

68776596 has 108 divisors (see below), whose sum is σ = 204492288. Its totient is φ = 19432224.

The previous prime is 68776583. The next prime is 68776597. The reversal of 68776596 is 69567786.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68776597) 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 35 ways as a sum of consecutive naturals, for example, 223875 + ... + 224181.

Almost surely, 268776596 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 68776596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102246144).

68776596 is an abundant number, since it is smaller than the sum of its proper divisors (135715692).

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

68776596 is a wasteful number, since it uses less digits than its factorization.

68776596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 68776596 is about 8293.1656199548. The cubic root of 68776596 is about 409.7134543529.

The spelling of 68776596 in words is "sixty-eight million, seven hundred seventy-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 127 147 196 252 254 294 307 381 441 508 588 614 762 882 889 921 1143 1228 1524 1764 1778 1842 2149 2286 2667 2763 3556 3684 4298 4572 5334 5526 6223 6447 8001 8596 10668 11052 12446 12894 15043 16002 18669 19341 24892 25788 30086 32004 37338 38682 38989 45129 56007 60172 74676 77364 77978 90258 112014 116967 135387 155956 180516 224028 233934 270774 272923 350901 467868 541548 545846 701802 818769 1091692 1403604 1637538 1910461 2456307 3275076 3820922 4912614 5731383 7641844 9825228 11462766 17194149 22925532 34388298 68776596