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63084896 = 257416869
BaseRepresentation
bin1111000010100…
…1100101100000
311101201001012122
43300221211200
5112122204041
610132043412
71364132660
oct360514540
9141631178
1063084896
1132678686
1219163568
13100ba154
1485421a0
155811c4b
hex3c29960

63084896 has 48 divisors (see below), whose sum is σ = 145424160. Its totient is φ = 26373120.

The previous prime is 63084887. The next prime is 63084911. The reversal of 63084896 is 69848036.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5750 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (3029670).

Almost surely, 263084896 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 63084896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72712080).

63084896 is an abundant number, since it is smaller than the sum of its proper divisors (82339264).

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

63084896 is a wasteful number, since it uses less digits than its factorization.

63084896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6919 counting only the distinct ones).

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

The square root of 63084896 is about 7942.6000780601. The cubic root of 63084896 is about 398.0843739202.

The spelling of 63084896 in words is "sixty-three million, eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 6869 9184 13738 27476 48083 54952 96166 109904 192332 219808 281629 384664 563258 769328 1126516 1538656 1971403 2253032 3942806 4506064 7885612 9012128 15771224 31542448 63084896