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50679936 = 2732293741
BaseRepresentation
bin1100000101010…
…1000010000000
310112100210210200
43001111002000
5100433224221
65010125200
71153525626
oct301250200
9115323720
1050679936
112667564a
1214b80800
13a665a38
146a33516
1546b1426
hex3055080

50679936 has 192 divisors, whose sum is σ = 158722200. Its totient is φ = 15482880.

The previous prime is 50679931. The next prime is 50679943. The reversal of 50679936 is 63997605.

It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 9000000 = 6456^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 50679891 and 50679900.

It is not an unprimeable number, because it can be changed into a prime (50679931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236076 + ... + 1236116.

Almost surely, 250679936 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 50679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79361100).

50679936 is an abundant number, since it is smaller than the sum of its proper divisors (108042264).

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

50679936 is a wasteful number, since it uses less digits than its factorization.

50679936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 50679936 is about 7118.9841972012. The cubic root of 50679936 is about 370.0655739634.

It can be divided in two parts, 50679 and 936, that added together give a palindrome (51615).

The spelling of 50679936 in words is "fifty million, six hundred seventy-nine thousand, nine hundred thirty-six".