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50834100 = 22352295843
BaseRepresentation
bin1100000111101…
…0101010110100
310112122122021110
43001322222310
5101003142400
65013315020
71155040242
oct301725264
9115578243
1050834100
1126770459
1215035a70
13a6bac65
146a73792
1546e1e50
hex307aab4

50834100 has 72 divisors (see below), whose sum is σ = 152177760. Its totient is φ = 13086080.

The previous prime is 50834099. The next prime is 50834123. The reversal of 50834100 is 143805.

50834100 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 23 ways as a sum of consecutive naturals, for example, 5779 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (2113580).

Almost surely, 250834100 is an apocalyptic number.

50834100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50834100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76088880).

50834100 is an abundant number, since it is smaller than the sum of its proper divisors (101343660).

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

50834100 is a wasteful number, since it uses less digits than its factorization.

50834100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 50834100 is about 7129.8036438600. The cubic root of 50834100 is about 370.4404299935.

Adding to 50834100 its reverse (143805), we get a palindrome (50977905).

The spelling of 50834100 in words is "fifty million, eight hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 5843 8700 11686 17529 23372 29215 35058 58430 70116 87645 116860 146075 169447 175290 292150 338894 350580 438225 508341 584300 677788 847235 876450 1016682 1694470 1752900 2033364 2541705 3388940 4236175 5083410 8472350 10166820 12708525 16944700 25417050 50834100