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68506464 = 25313173229
BaseRepresentation
bin1000001010101…
…01001101100000
311202220111012110
410011111031200
5120014201324
610444155320
71461203205
oct405251540
9152814173
1068506464
1135740a14
121ab38b40
1311267a90
149153cac
156033329
hex4155360

68506464 has 96 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 19832832.

The previous prime is 68506453. The next prime is 68506469. The reversal of 68506464 is 46460586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68506469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19602 + ... + 22830.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 268506464 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 68506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

68506464 is an abundant number, since it is smaller than the sum of its proper divisors (136611456).

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

68506464 is a wasteful number, since it uses less digits than its factorization.

68506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 68506464 is about 8276.8631739325. The cubic root of 68506464 is about 409.1763436740.

The spelling of 68506464 in words is "sixty-eight million, five hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3229 3536 5304 6458 7072 9687 10608 12916 19374 21216 25832 38748 41977 51664 54893 77496 83954 103328 109786 125931 154992 164679 167908 219572 251862 309984 329358 335816 439144 503724 658716 671632 713609 878288 1007448 1317432 1343264 1427218 1756576 2014896 2140827 2634864 2854436 4029792 4281654 5269728 5708872 8563308 11417744 17126616 22835488 34253232 68506464