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68756292 = 223211237549
BaseRepresentation
bin1000001100100…
…10001101000100
311210101011220100
410012102031010
5120100200132
610453404100
71463263443
oct406221504
9153334810
1068756292
11358a1690
121b039630
13113246c7
1491bad5a
15608237c
hex4192344

68756292 has 72 divisors (see below), whose sum is σ = 197870400. Its totient is φ = 19926720.

The previous prime is 68756263. The next prime is 68756293. The reversal of 68756292 is 29265786.

68756292 is a `hidden beast` number, since 6 + 87 + 562 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (68756293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5334 + ... + 12882.

It is an arithmetic number, because the mean of its divisors is an integer number (2748200).

Almost surely, 268756292 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 68756292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98935200).

68756292 is an abundant number, since it is smaller than the sum of its proper divisors (129114108).

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

68756292 is a wasteful number, since it uses less digits than its factorization.

68756292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7588 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 68756292 is about 8291.9413890837. The cubic root of 68756292 is about 409.6731322995.

The spelling of 68756292 in words is "sixty-eight million, seven hundred fifty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 7549 9108 15098 22647 30196 45294 67941 83039 90588 135882 166078 173627 249117 271764 332156 347254 498234 520881 694508 747351 996468 1041762 1494702 1562643 1909897 2083524 2989404 3125286 3819794 5729691 6250572 7639588 11459382 17189073 22918764 34378146 68756292