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50105232 = 2432349997
BaseRepresentation
bin1011111100100…
…0101110010000
310111021121110100
42333020232100
5100311331412
64545532400
71145613252
oct277105620
9114247410
1050105232
1126312891
1214944100
13a4c4288
146923cd2
1545eaedc
hex2fc8b90

50105232 has 60 divisors (see below), whose sum is σ = 140767900. Its totient is φ = 16637184.

The previous prime is 50105227. The next prime is 50105233. The reversal of 50105232 is 23250105.

It is a happy number.

50105232 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 2 ways, for example, as 40144896 + 9960336 = 6336^2 + 3156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (50105233) 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 11 ways as a sum of consecutive naturals, for example, 49758 + ... + 50754.

Almost surely, 250105232 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 50105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383950).

50105232 is an abundant number, since it is smaller than the sum of its proper divisors (90662668).

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

50105232 is a wasteful number, since it uses less digits than its factorization.

50105232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 50105232 is about 7078.5049268896. The cubic root of 50105232 is about 368.6614207614.

Adding to 50105232 its reverse (23250105), we get a palindrome (73355337).

The spelling of 50105232 in words is "fifty million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 997 1047 1396 1994 2094 2792 2991 3141 3988 4188 5584 5982 6282 7976 8376 8973 11964 12564 15952 16752 17946 23928 25128 35892 47856 50256 71784 143568 347953 695906 1043859 1391812 2087718 2783624 3131577 4175436 5567248 6263154 8350872 12526308 16701744 25052616 50105232