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68085248 = 297112157
BaseRepresentation
bin1000000111011…
…10011000000000
311202010002101212
410003232120000
5114412211443
610431145252
71454500160
oct403563000
9152102355
1068085248
1135483500
121a975228
131114b13a
1490845a0
155e9d618
hex40ee600

68085248 has 120 divisors (see below), whose sum is σ = 171978576. Its totient is φ = 26357760.

The previous prime is 68085247. The next prime is 68085257. The reversal of 68085248 is 84258086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68085247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433586 + ... + 433742.

Almost surely, 268085248 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 68085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85989288).

68085248 is an abundant number, since it is smaller than the sum of its proper divisors (103893328).

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

68085248 is a wasteful number, since it uses less digits than its factorization.

68085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 68085248 is about 8251.3785514907. The cubic root of 68085248 is about 408.3360041290.

The spelling of 68085248 in words is "sixty-eight million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 157 176 224 242 256 308 314 352 448 484 512 616 628 704 847 896 968 1099 1232 1256 1408 1694 1727 1792 1936 2198 2464 2512 2816 3388 3454 3584 3872 4396 4928 5024 5632 6776 6908 7744 8792 9856 10048 12089 13552 13816 15488 17584 18997 19712 20096 24178 27104 27632 30976 35168 37994 39424 40192 48356 54208 55264 61952 70336 75988 80384 96712 108416 110528 132979 140672 151976 193424 216832 221056 265958 281344 303952 386848 433664 442112 531916 562688 607904 773696 884224 1063832 1215808 1547392 2127664 2431616 3094784 4255328 4863232 6189568 8510656 9726464 17021312 34042624 68085248