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50127138 = 23229109881
BaseRepresentation
bin1011111100111…
…0000100100010
310111022201111200
42333032010202
5100313032023
64550222030
71146034155
oct277160442
9114281450
1050127138
1126328296
1214954916
13a501239
14692bc9c
154602743
hex2fce122

50127138 has 48 divisors (see below), whose sum is σ = 113513400. Its totient is φ = 15966720.

The previous prime is 50127131. The next prime is 50127157. The reversal of 50127138 is 83172105.

50127138 is a `hidden beast` number, since 501 + 27 + 138 = 666.

50127138 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 4 ways, for example, as 40411449 + 9715689 = 6357^2 + 3117^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (50127131) 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 23 ways as a sum of consecutive naturals, for example, 56458 + ... + 57338.

Almost surely, 250127138 is an apocalyptic number.

50127138 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50127138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56756700).

50127138 is an abundant number, since it is smaller than the sum of its proper divisors (63386262).

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

50127138 is a wasteful number, since it uses less digits than its factorization.

50127138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 50127138 is about 7080.0521184522. The cubic root of 50127138 is about 368.7151391731.

The spelling of 50127138 in words is "fifty million, one hundred twenty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 109 174 218 261 327 522 654 881 981 1762 1962 2643 3161 5286 6322 7929 9483 15858 18966 25549 28449 51098 56898 76647 96029 153294 192058 229941 288087 459882 576174 864261 1728522 2784841 5569682 8354523 16709046 25063569 50127138