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68578848 = 25321321409
BaseRepresentation
bin1000001011001…
…10111000100000
311210001011111100
410011212320200
5120024010343
610445514400
71461624222
oct405467040
9153034440
1068578848
1135790338
121ab72a00
1311291a00
149172412
1560499d3
hex4166e20

68578848 has 108 divisors (see below), whose sum is σ = 211326570. Its totient is φ = 21086208.

The previous prime is 68578837. The next prime is 68578879. The reversal of 68578848 is 84887586.

68578848 is a `hidden beast` number, since 68 + 578 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13046544 + 55532304 = 3612^2 + 7452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68578794 and 68578803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47968 + ... + 49376.

Almost surely, 268578848 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 68578848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105663285).

68578848 is an abundant number, since it is smaller than the sum of its proper divisors (142747722).

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

68578848 is a wasteful number, since it uses less digits than its factorization.

68578848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1427 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 68578848 is about 8281.2346905519. The cubic root of 68578848 is about 409.3204049953.

The spelling of 68578848 in words is "sixty-eight million, five hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1409 1521 1872 2028 2704 2818 3042 3744 4056 4227 5408 5636 6084 8112 8454 11272 12168 12681 16224 16908 18317 22544 24336 25362 33816 36634 45088 48672 50724 54951 67632 73268 101448 109902 135264 146536 164853 202896 219804 238121 293072 329706 405792 439608 476242 586144 659412 714363 879216 952484 1318824 1428726 1758432 1904968 2143089 2637648 2857452 3809936 4286178 5275296 5714904 7619872 8572356 11429808 17144712 22859616 34289424 68578848