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63878304 = 2537195003
BaseRepresentation
bin1111001110101…
…1010010100000
311110012100120010
43303223102200
5112323101204
610201044520
71403646060
oct363532240
9143170503
1063878304
113306a796
1219486740
1310307319
1486ab3a0
15591bd89
hex3ceb4a0

63878304 has 96 divisors (see below), whose sum is σ = 201761280. Its totient is φ = 17286912.

The previous prime is 63878293. The next prime is 63878327. The reversal of 63878304 is 40387836.

63878304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 10267 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (2101680).

Almost surely, 263878304 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 63878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100880640).

63878304 is an abundant number, since it is smaller than the sum of its proper divisors (137882976).

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

63878304 is a wasteful number, since it uses less digits than its factorization.

63878304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 63878304 is about 7992.3903808560. The cubic root of 63878304 is about 399.7463057988.

The spelling of 63878304 in words is "sixty-three million, eight hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 5003 6384 10006 12768 15009 20012 30018 35021 40024 60036 70042 80048 95057 105063 120072 140084 160096 190114 210126 240144 280168 285171 380228 420252 480288 560336 570342 665399 760456 840504 1120672 1140684 1330798 1520912 1681008 1996197 2281368 2661596 3041824 3362016 3992394 4562736 5323192 7984788 9125472 10646384 15969576 21292768 31939152 63878304