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50080 = 255313
BaseRepresentation
bin1100001110100000
32112200211
430032200
53100310
61023504
7266002
oct141640
975624
1050080
1134698
1224b94
1319a44
1414372
15ec8a
hexc3a0

50080 has 24 divisors (see below), whose sum is σ = 118692. Its totient is φ = 19968.

The previous prime is 50077. The next prime is 50087. The reversal of 50080 is 8005.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 8464 = 204^2 + 92^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50080.

It is not an unprimeable number, because it can be changed into a prime (50087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 316.

250080 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 50080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59346).

50080 is an abundant number, since it is smaller than the sum of its proper divisors (68612).

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

50080 is a wasteful number, since it uses less digits than its factorization.

50080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

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

The square root of 50080 is about 223.7856116912. The cubic root of 50080 is about 36.8599526847.

Adding to 50080 its reverse (8005), we get a palindrome (58085).

It can be divided in two parts, 500 and 80, that multiplied together give a square (40000 = 2002).

The spelling of 50080 in words is "fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 12520 25040 50080