Search a number
-
+
50500 = 2253101
BaseRepresentation
bin1100010101000100
32120021101
430111010
53104000
61025444
7300142
oct142504
976241
1050500
1134a3a
1225284
1319ca8
1414592
15ee6a
hexc544

50500 has 24 divisors (see below), whose sum is σ = 111384. Its totient is φ = 20000.

The previous prime is 50497. The next prime is 50503. The reversal of 50500 is 505.

It is an interprime number because it is at equal distance from previous prime (50497) and next prime (50503).

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 50176 = 18^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (4641).

250500 is an apocalyptic number.

50500 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 50500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55692).

50500 is an abundant number, since it is smaller than the sum of its proper divisors (60884).

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

50500 is a wasteful number, since it uses less digits than its factorization.

50500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 50500 is about 224.7220505424. The cubic root of 50500 is about 36.9627089586.

50500 divided by its sum of digits (10) gives a triangular number (5050 = T100).

Multiplying 50500 by its reverse (505), we get a square (25502500 = 50502).

50500 divided by its reverse (505) gives a square (100 = 102).

The spelling of 50500 in words is "fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 2020 2525 5050 10100 12625 25250 50500