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50905000 = 235410181
BaseRepresentation
bin1100001000101…
…1111110101000
310112210020112101
43002023332220
5101012430000
65015023144
71155454036
oct302137650
9115706471
1050905000
1126809753
121506aab4
13a714303
146a91556
154707e6a
hex308bfa8

50905000 has 40 divisors (see below), whose sum is σ = 119282130. Its totient is φ = 20360000.

The previous prime is 50904989. The next prime is 50905013. The reversal of 50905000 is 50905.

50905000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1258884 + 49646116 = 1122^2 + 7046^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 91 + ... + 10090.

Almost surely, 250905000 is an apocalyptic number.

50905000 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 50905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59641065).

50905000 is an abundant number, since it is smaller than the sum of its proper divisors (68377130).

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

50905000 is a wasteful number, since it uses less digits than its factorization.

50905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 50905000 is about 7134.7739978222. The cubic root of 50905000 is about 370.6125718262.

Adding to 50905000 its reverse (50905), we get a palindrome (50955905).

50905000 divided by its reverse (50905) gives a cube (1000 = 103).

The spelling of 50905000 in words is "fifty million, nine hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10181 20362 40724 50905 81448 101810 203620 254525 407240 509050 1018100 1272625 2036200 2545250 5090500 6363125 10181000 12726250 25452500 50905000