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50838150 = 23521122801
BaseRepresentation
bin1100000111101…
…1101010000110
310112122211211110
43001323222012
5101003310100
65013345450
71155055116
oct301735206
9115584743
1050838150
1126773500
1215038286
13a6bca5c
146a75046
1546e3250
hex307ba86

50838150 has 72 divisors (see below), whose sum is σ = 138631752. Its totient is φ = 12320000.

The previous prime is 50838127. The next prime is 50838191. The reversal of 50838150 is 5183805.

It is a happy number.

50838150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 16750 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (1925441).

Almost surely, 250838150 is an apocalyptic number.

50838150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50838150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69315876).

50838150 is an abundant number, since it is smaller than the sum of its proper divisors (87793602).

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

50838150 is a wasteful number, since it uses less digits than its factorization.

50838150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 50838150 is about 7130.0876572452. The cubic root of 50838150 is about 370.4502675101.

The spelling of 50838150 in words is "fifty million, eight hundred thirty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 2801 3025 3630 5602 6050 8403 9075 14005 16806 18150 28010 30811 42015 61622 70025 84030 92433 140050 154055 184866 210075 308110 338921 420150 462165 677842 770275 924330 1016763 1540550 1694605 2033526 2310825 3389210 4621650 5083815 8473025 10167630 16946050 25419075 50838150