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50008 = 2371947
BaseRepresentation
bin1100001101011000
32112121011
430031120
53100013
61023304
7265540
oct141530
975534
1050008
1134632
1224b34
13199ba
1414320
15ec3d
hexc358

50008 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 19872.

The previous prime is 49999. The next prime is 50021. The reversal of 50008 is 80005.

50008 is nontrivially palindromic in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 50008.

It is a congruent number.

It is an unprimeable number.

50008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

250008 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 50008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

50008 is an abundant number, since it is smaller than the sum of its proper divisors (65192).

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

50008 is a wasteful number, since it uses less digits than its factorization.

50008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 50008 is about 223.6246855783. The cubic root of 50008 is about 36.8422796984.

It can be divided in two parts, 5000 and 8, that multiplied together give a square (40000 = 2002).

The spelling of 50008 in words is "fifty thousand, eight".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 329 376 532 658 893 1064 1316 1786 2632 3572 6251 7144 12502 25004 50008