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63728808 = 233111331599
BaseRepresentation
bin1111001100011…
…0110010101000
311102220202111020
43303012302220
5112303310213
610153532440
71402454163
oct363066250
9142822436
1063728808
1132a78440
1219414120
1310284270
14866cada
1558dc923
hex3cc6ca8

63728808 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 17222400.

The previous prime is 63728789. The next prime is 63728809. The reversal of 63728808 is 80882736.

63728808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×637288082 = 8122721938201728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 63728808.

It is not an unprimeable number, because it can be changed into a prime (63728809) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106093 + ... + 106691.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 263728808 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 63728808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

63728808 is an abundant number, since it is smaller than the sum of its proper divisors (129807192).

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

63728808 is a wasteful number, since it uses less digits than its factorization.

63728808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 63728808 is about 7983.0325065103. The cubic root of 63728808 is about 399.4342167673.

The spelling of 63728808 in words is "sixty-three million, seven hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 599 682 744 806 858 1023 1144 1198 1209 1364 1612 1716 1797 2046 2396 2418 2728 3224 3432 3594 4092 4433 4792 4836 6589 7188 7787 8184 8866 9672 13178 13299 14376 15574 17732 18569 19767 23361 26356 26598 31148 35464 37138 39534 46722 52712 53196 55707 62296 74276 79068 85657 93444 106392 111414 148552 158136 171314 186888 204259 222828 241397 256971 342628 408518 445656 482794 513942 612777 685256 724191 817036 965588 1027884 1225554 1448382 1634072 1931176 2055768 2451108 2655367 2896764 4902216 5310734 5793528 7966101 10621468 15932202 21242936 31864404 63728808