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50124416 = 271932029
BaseRepresentation
bin1011111100110…
…1011010000000
310111022120202212
42333031122000
5100312440131
64550201252
71146023216
oct277153200
9114276685
1050124416
1126326241
1214953228
13a4ccc24
14692acb6
154601a2b
hex2fcd680

50124416 has 32 divisors (see below), whose sum is σ = 100424100. Its totient is φ = 24920064.

The previous prime is 50124409. The next prime is 50124433. The reversal of 50124416 is 61442105.

50124416 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 47886400 + 2238016 = 6920^2 + 1496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 50124391 and 50124400.

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 3 ways as a sum of consecutive naturals, for example, 23690 + ... + 25718.

Almost surely, 250124416 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 50124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50212050).

50124416 is an abundant number, since it is smaller than the sum of its proper divisors (50299684).

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

50124416 is a wasteful number, since it uses less digits than its factorization.

50124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 50124416 is about 7079.8598856192. The cubic root of 50124416 is about 368.7084650719.

The spelling of 50124416 in words is "fifty million, one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 2029 3088 4058 6176 8116 12352 16232 24704 32464 64928 129856 259712 391597 783194 1566388 3132776 6265552 12531104 25062208 50124416