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68605488 = 243373463
BaseRepresentation
bin1000001011011…
…01011000110000
311210002112001000
410011231120300
5120030333423
610450242000
71462065000
oct405553060
9153075030
1068605488
11357a9356
121ab86300
13112a0b83
14917c000
156052843
hex416d630

68605488 has 160 divisors (see below), whose sum is σ = 230144000. Its totient is φ = 19559232.

The previous prime is 68605483. The next prime is 68605499. The reversal of 68605488 is 88450686.

It is a super-4 number, since 4×686054884 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (68605483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147945 + ... + 148407.

It is an arithmetic number, because the mean of its divisors is an integer number (1438400).

Almost surely, 268605488 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 68605488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115072000).

68605488 is an abundant number, since it is smaller than the sum of its proper divisors (161538512).

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

68605488 is a wasteful number, since it uses less digits than its factorization.

68605488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 68605488 is about 8282.8429901816. The cubic root of 68605488 is about 409.3733993916.

The spelling of 68605488 in words is "sixty-eight million, six hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 463 504 588 686 756 784 882 926 1008 1029 1176 1323 1372 1389 1512 1764 1852 2058 2352 2646 2744 2778 3024 3087 3241 3528 3704 4116 4167 5292 5488 5556 6174 6482 7056 7408 8232 8334 9261 9723 10584 11112 12348 12501 12964 16464 16668 18522 19446 21168 22224 22687 24696 25002 25928 29169 33336 37044 38892 45374 49392 50004 51856 58338 66672 68061 74088 77784 87507 90748 100008 116676 136122 148176 155568 158809 175014 181496 200016 204183 233352 272244 317618 350028 362992 408366 466704 476427 544488 612549 635236 700056 816732 952854 1088976 1225098 1270472 1400112 1429281 1633464 1905708 2450196 2540944 2858562 3266928 3811416 4287843 4900392 5717124 7622832 8575686 9800784 11434248 17151372 22868496 34302744 68605488