50000 has 30 divisors (see below), whose sum is σ = 121086. Its totient is φ = 20000.

The previous prime is 49999. The next prime is 50021. The reversal of 50000 is 5.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 26896 = 152^2 + 164^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 5 and base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9998 + ... + 10002.

2^{50000} is an apocalyptic number.

50000 is a gapful number since it is divisible by the number (50) 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 50000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60543).

50000 is an abundant number, since it is smaller than the sum of its proper divisors (71086).

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

50000 is an frugal number, since it uses more digits than its factorization.

50000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 5.

The square root of 50000 is about 223.6067977500. The cubic root of 50000 is about 36.8403149864.

The spelling of 50000 in words is "fifty thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 25000 50000

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