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68729544 = 23321397757
BaseRepresentation
bin1000001100010…
…11101011001000
311210022211012200
410012023223020
5120043321134
610453040200
71463122452
oct406135310
9153284180
1068729544
1135883584
121b026060
1311315490
1491b12d2
156079499
hex418bac8

68729544 has 96 divisors (see below), whose sum is σ = 202795320. Its totient is φ = 20901888.

The previous prime is 68729539. The next prime is 68729567. The reversal of 68729544 is 44592786.

It is a happy number.

68729544 is a `hidden beast` number, since 6 + 87 + 29 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49702500 + 19027044 = 7050^2 + 4362^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68729544.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 90414 + ... + 91170.

Almost surely, 268729544 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 68729544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101397660).

68729544 is an abundant number, since it is smaller than the sum of its proper divisors (134065776).

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

68729544 is a wasteful number, since it uses less digits than its factorization.

68729544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 872 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 68729544 is about 8290.3283409042. The cubic root of 68729544 is about 409.6200008798.

The spelling of 68729544 in words is "sixty-eight million, seven hundred twenty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 388 468 582 757 776 873 936 1164 1261 1514 1746 2271 2328 2522 3028 3492 3783 4542 5044 6056 6813 6984 7566 9084 9841 10088 11349 13626 15132 18168 19682 22698 27252 29523 30264 39364 45396 54504 59046 73429 78728 88569 90792 118092 146858 177138 220287 236184 293716 354276 440574 587432 660861 708552 881148 954577 1321722 1762296 1909154 2643444 2863731 3818308 5286888 5727462 7636616 8591193 11454924 17182386 22909848 34364772 68729544