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50125376 = 267127881
BaseRepresentation
bin1011111100110…
…1101001000000
310111022122002102
42333031221000
5100313003001
64550205532
71146026060
oct277155100
9114278072
1050125376
1126326a34
12149538a8
13a5004b2
14692b3a0
154601e6b
hex2fcda40

50125376 has 56 divisors (see below), whose sum is σ = 114702336. Its totient is φ = 21288960.

The previous prime is 50125337. The next prime is 50125393. The reversal of 50125376 is 67352105.

50125376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 56456 + ... + 57336.

It is an arithmetic number, because the mean of its divisors is an integer number (2048256).

Almost surely, 250125376 is an apocalyptic number.

50125376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57351168).

50125376 is an abundant number, since it is smaller than the sum of its proper divisors (64576960).

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

50125376 is a wasteful number, since it uses less digits than its factorization.

50125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 50125376 is about 7079.9276832465. The cubic root of 50125376 is about 368.7108189338.

The spelling of 50125376 in words is "fifty million, one hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 224 254 448 508 881 889 1016 1762 1778 2032 3524 3556 4064 6167 7048 7112 8128 12334 14096 14224 24668 28192 28448 49336 56384 56896 98672 111887 197344 223774 394688 447548 783209 895096 1566418 1790192 3132836 3580384 6265672 7160768 12531344 25062688 50125376