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68126208 = 293172609
BaseRepresentation
bin1000000111110…
…00011000000000
311202012011120220
410003320120000
5114420014313
610432103040
71455030453
oct403703000
9152164526
1068126208
1135501257
121a994a80
1311163987
14909549a
155eaa823
hex40f8600

68126208 has 80 divisors (see below), whose sum is σ = 192242160. Its totient is φ = 21364736.

The previous prime is 68126197. The next prime is 68126209. The reversal of 68126208 is 80262186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68126209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24808 + ... + 27416.

It is an arithmetic number, because the mean of its divisors is an integer number (2403027).

Almost surely, 268126208 is an apocalyptic number.

68126208 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96121080).

68126208 is an abundant number, since it is smaller than the sum of its proper divisors (124115952).

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

68126208 is a wasteful number, since it uses less digits than its factorization.

68126208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 68126208 is about 8253.8601878152. The cubic root of 68126208 is about 408.4178725235.

The spelling of 68126208 in words is "sixty-eight million, one hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 2609 3264 4352 5218 6528 7827 8704 10436 13056 15654 20872 26112 31308 41744 44353 62616 83488 88706 125232 133059 166976 177412 250464 266118 333952 354824 500928 532236 667904 709648 1001856 1064472 1335808 1419296 2003712 2128944 2838592 4007424 4257888 5677184 8515776 11354368 17031552 22708736 34063104 68126208