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63884096 = 261771827
BaseRepresentation
bin1111001110110…
…0101101000000
311110012122111122
43303230231000
5112323242341
610201131412
71404002003
oct363545500
9143178448
1063884096
1133074081
1219489b68
1310309b53
1486ad53a
15591d94b
hex3cecb40

63884096 has 56 divisors (see below), whose sum is σ = 136282176. Its totient is φ = 29603840.

The previous prime is 63884063. The next prime is 63884123. The reversal of 63884096 is 69048836.

63884096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76835 + ... + 77661.

Almost surely, 263884096 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 63884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68141088).

63884096 is an abundant number, since it is smaller than the sum of its proper divisors (72398080).

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

63884096 is a wasteful number, since it uses less digits than its factorization.

63884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 63884096 is about 7992.7527173058. The cubic root of 63884096 is about 399.7583874211.

The spelling of 63884096 in words is "sixty-three million, eight hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 136 142 272 284 544 568 827 1088 1136 1207 1654 2272 2414 3308 4544 4828 6616 9656 13232 14059 19312 26464 28118 38624 52928 56236 58717 77248 112472 117434 224944 234868 449888 469736 899776 939472 998189 1878944 1996378 3757888 3992756 7985512 15971024 31942048 63884096