Search a number
-
+
36000500 = 225389809
BaseRepresentation
bin1000100101010…
…1001011110100
32111202000101212
42021111023310
533204004000
63323340552
7614666504
oct211251364
974660355
1036000500
1119359788
1210081758
1375c6293
144ad1a04
153261c35
hex22552f4

36000500 has 48 divisors (see below), whose sum is σ = 79606800. Its totient is φ = 14220800.

The previous prime is 36000491. The next prime is 36000521. The reversal of 36000500 is 500063.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10010896 + 25989604 = 3164^2 + 5098^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44096 + ... + 44904.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 236000500 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 36000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39803400).

36000500 is an abundant number, since it is smaller than the sum of its proper divisors (43606300).

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

36000500 is a wasteful number, since it uses less digits than its factorization.

36000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 36000500 is about 6000.0416665220. The cubic root of 36000500 is about 330.1942535524.

Adding to 36000500 its reverse (500063), we get a palindrome (36500563).

The spelling of 36000500 in words is "thirty-six million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 809 890 1618 1780 2225 3236 4045 4450 8090 8900 11125 16180 20225 22250 40450 44500 72001 80900 101125 144002 202250 288004 360005 404500 720010 1440020 1800025 3600050 7200100 9000125 18000250 36000500