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50114064 = 243721113149
BaseRepresentation
bin1011111100101…
…0111000010000
310111022001120110
42333022320100
5100312122224
64550041320
71145651100
oct277127020
9114261513
1050114064
1126319490
1214949240
13a4c82c0
146927200
1545ed929
hex2fcae10

50114064 has 240 divisors, whose sum is σ = 178113600. Its totient is φ = 11934720.

The previous prime is 50114063. The next prime is 50114081. The reversal of 50114064 is 46041105.

50114064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×501140642 = 5022838821192192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 50114064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50114063) 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 47 ways as a sum of consecutive naturals, for example, 336262 + ... + 336410.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 250114064 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 50114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

50114064 is an abundant number, since it is smaller than the sum of its proper divisors (127999536).

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

50114064 is a wasteful number, since it uses less digits than its factorization.

50114064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

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

The square root of 50114064 is about 7079.1287599534. The cubic root of 50114064 is about 368.6830806842.

Adding to 50114064 its reverse (46041105), we get a palindrome (96155169).

The spelling of 50114064 in words is "fifty million, one hundred fourteen thousand, sixty-four".