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64858068 = 223211237121
BaseRepresentation
bin1111011101101…
…0011111010100
311112001010112200
43313122133110
5113100424233
610234044500
71415166402
oct367323724
9145033480
1064858068
1133679910
1219879730
131058b272
148884472
155a62313
hex3dda7d4

64858068 has 72 divisors (see below), whose sum is σ = 186653376. Its totient is φ = 18796800.

The previous prime is 64858049. The next prime is 64858069. The reversal of 64858068 is 86085846.

64858068 is a `hidden beast` number, since 6 + 4 + 8 + 580 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64858069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5548 + ... + 12668.

It is an arithmetic number, because the mean of its divisors is an integer number (2592408).

Almost surely, 264858068 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 64858068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93326688).

64858068 is an abundant number, since it is smaller than the sum of its proper divisors (121795308).

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

64858068 is a wasteful number, since it uses less digits than its factorization.

64858068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7165 (or 7160 counting only the distinct ones).

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

The square root of 64858068 is about 8053.4506889904. The cubic root of 64858068 is about 401.7797114904.

The spelling of 64858068 in words is "sixty-four million, eight hundred fifty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 7121 9108 14242 21363 28484 42726 64089 78331 85452 128178 156662 163783 234993 256356 313324 327566 469986 491349 655132 704979 939972 982698 1409958 1474047 1801613 1965396 2819916 2948094 3603226 5404839 5896188 7206452 10809678 16214517 21619356 32429034 64858068