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68178048 = 273434129
BaseRepresentation
bin1000001000001…
…01000010000000
311202021210200220
410010011002000
5114423144143
610433143040
71455334551
oct404050200
9152253626
1068178048
11355371a4
121a9baa80
1311181453
1490aa328
155ebad83
hex4105080

68178048 has 64 divisors (see below), whose sum is σ = 185354400. Its totient is φ = 22192128.

The previous prime is 68178031. The next prime is 68178113. The reversal of 68178048 is 84087186.

It is a Cunningham number, because it is equal to 82572-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14448 + ... + 18576.

Almost surely, 268178048 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 68178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92677200).

68178048 is an abundant number, since it is smaller than the sum of its proper divisors (117176352).

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

68178048 is a wasteful number, since it uses less digits than its factorization.

68178048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 68178048 is about 8256.9999394453. Note that the first 4 decimals coincide. The cubic root of 68178048 is about 408.5214401768.

The spelling of 68178048 in words is "sixty-eight million, one hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 4129 5504 8256 8258 12387 16512 16516 24774 33032 49548 66064 99096 132128 177547 198192 264256 355094 396384 528512 532641 710188 792768 1065282 1420376 1585536 2130564 2840752 4261128 5681504 8522256 11363008 17044512 22726016 34089024 68178048