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50935638 = 231317107359
BaseRepresentation
bin1100001001001…
…1011101010110
310112211210120010
43002103131112
5101014420023
65015421050
71155642255
oct302233526
9115753503
1050935638
112682a776
1215084786
13a725240
146a9c79c
154712093
hex3093756

50935638 has 64 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 14572032.

The previous prime is 50935631. The next prime is 50935649. The reversal of 50935638 is 83653905.

50935638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 50935596 and 50935605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50935631) 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, 141703 + ... + 142061.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 250935638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50935638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

50935638 is an abundant number, since it is smaller than the sum of its proper divisors (66637482).

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

50935638 is a wasteful number, since it uses less digits than its factorization.

50935638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 50935638 is about 7136.9207645875. The cubic root of 50935638 is about 370.6869099771.

It can be divided in two parts, 5093 and 5638, that added together give a triangular number (10731 = T146).

The spelling of 50935638 in words is "fifty million, nine hundred thirty-five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 107 214 221 321 359 442 642 663 718 1077 1326 1391 1819 2154 2782 3638 4173 4667 5457 6103 8346 9334 10914 12206 14001 18309 23647 28002 36618 38413 47294 70941 76826 79339 115239 141882 158678 230478 238017 476034 499369 653021 998738 1306042 1498107 1959063 2996214 3918126 8489273 16978546 25467819 50935638