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63998064 = 243213172011
BaseRepresentation
bin1111010000100…
…0100001110000
311110102102211200
43310020201300
5112340414224
610203411200
71404655164
oct364104160
9143372750
1063998064
1133141769
1219523b00
13103499a0
1486dcca4
1559425c9
hex3d08870

63998064 has 120 divisors (see below), whose sum is σ = 204330672. Its totient is φ = 18524160.

The previous prime is 63998027. The next prime is 63998069. The reversal of 63998064 is 46089936.

63998064 is a `hidden beast` number, since 639 + 9 + 8 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63998069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30819 + ... + 32829.

Almost surely, 263998064 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 63998064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102165336).

63998064 is an abundant number, since it is smaller than the sum of its proper divisors (140332608).

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

63998064 is a wasteful number, since it uses less digits than its factorization.

63998064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 63998064 is about 7999.8789990849. The cubic root of 63998064 is about 399.9959666260.

The spelling of 63998064 in words is "sixty-three million, nine hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2011 2448 2652 3536 3978 4022 5304 6033 7956 8044 10608 12066 15912 16088 18099 24132 26143 31824 32176 34187 36198 48264 52286 68374 72396 78429 96528 102561 104572 136748 144792 156858 205122 209144 235287 273496 289584 307683 313716 410244 418288 444431 470574 546992 615366 627432 820488 888862 941148 1230732 1254864 1333293 1640976 1777724 1882296 2461464 2666586 3555448 3764592 3999879 4922928 5333172 7110896 7999758 10666344 15999516 21332688 31999032 63998064