Search a number
-
+
68258816 = 210191349
BaseRepresentation
bin1000001000110…
…00110000000000
311202102220111022
410010120300000
5114433240231
610435005012
71456122203
oct404306000
9152386438
1068258816
113559194a
121aa39768
13111ac142
1490cb93a
155ed4c7b
hex4118c00

68258816 has 44 divisors (see below), whose sum is σ = 137558400. Its totient is φ = 33853440.

The previous prime is 68258789. The next prime is 68258819. The reversal of 68258816 is 61885286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68258819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195410 + ... + 195758.

Almost surely, 268258816 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 68258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68779200).

68258816 is an abundant number, since it is smaller than the sum of its proper divisors (69299584).

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

68258816 is a wasteful number, since it uses less digits than its factorization.

68258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 542 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 68258816 is about 8261.8893722925. The cubic root of 68258816 is about 408.6826965720.

The spelling of 68258816 in words is "sixty-eight million, two hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 191 256 349 382 512 698 764 1024 1396 1528 2792 3056 5584 6112 11168 12224 22336 24448 44672 48896 66659 89344 97792 133318 178688 195584 266636 357376 533272 1066544 2133088 4266176 8532352 17064704 34129408 68258816