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68754048 = 2731141397
BaseRepresentation
bin1000001100100…
…01101010000000
311210101001211020
410012101222000
5120100112143
610453345440
71463254056
oct406215200
9153331736
1068754048
113589aa30
121b038280
131132368c
1491ba1d6
156081883
hex4191a80

68754048 has 128 divisors (see below), whose sum is σ = 204603840. Its totient is φ = 20275200.

The previous prime is 68754019. The next prime is 68754083. The reversal of 68754048 is 84045786.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172986 + ... + 173382.

Almost surely, 268754048 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 68754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102301920).

68754048 is an abundant number, since it is smaller than the sum of its proper divisors (135849792).

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

68754048 is a wasteful number, since it uses less digits than its factorization.

68754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 68754048 is about 8291.8060758800. The cubic root of 68754048 is about 409.6686754153.

The spelling of 68754048 in words is "sixty-eight million, seven hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 264 328 352 384 397 451 492 528 656 704 794 902 984 1056 1191 1312 1353 1408 1588 1804 1968 2112 2382 2624 2706 3176 3608 3936 4224 4367 4764 5248 5412 6352 7216 7872 8734 9528 10824 12704 13101 14432 15744 16277 17468 19056 21648 25408 26202 28864 32554 34936 38112 43296 48831 50816 52404 57728 65108 69872 76224 86592 97662 104808 130216 139744 152448 173184 179047 195324 209616 260432 279488 358094 390648 419232 520864 537141 558976 716188 781296 838464 1041728 1074282 1432376 1562592 1676928 2083456 2148564 2864752 3125184 4297128 5729504 6250368 8594256 11459008 17188512 22918016 34377024 68754048