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50838864 = 2436197179
BaseRepresentation
bin1100000111101…
…1110101010000
310112122212210220
43001323311100
5101003320424
65013353040
71155060156
oct301736520
9115585726
1050838864
1126773a9a
1215038780
13a6c018b
146a753d6
1546e3579
hex307bd50

50838864 has 80 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 16404480.

The previous prime is 50838841. The next prime is 50838877. The reversal of 50838864 is 46883805.

50838864 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 15 ways as a sum of consecutive naturals, for example, 283927 + ... + 284105.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 250838864 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 50838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

50838864 is an abundant number, since it is smaller than the sum of its proper divisors (84777456).

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

50838864 is a wasteful number, since it uses less digits than its factorization.

50838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 50838864 is about 7130.1377265800. The cubic root of 50838864 is about 370.4520017736.

The spelling of 50838864 in words is "fifty million, eight hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 97 122 179 183 194 244 291 358 366 388 488 537 582 716 732 776 976 1074 1164 1432 1464 1552 2148 2328 2864 2928 4296 4656 5917 8592 10919 11834 17363 17751 21838 23668 32757 34726 35502 43676 47336 52089 65514 69452 71004 87352 94672 104178 131028 138904 142008 174704 208356 262056 277808 284016 416712 524112 833424 1059143 2118286 3177429 4236572 6354858 8473144 12709716 16946288 25419432 50838864