Search a number
-
+
500048640 = 2834571353
BaseRepresentation
bin11101110011100…
…010001100000000
31021211221002210000
4131303202030000
52011003024030
6121341440000
715251225520
oct3563421400
91254832700
10500048640
1123729aa43
1211b570000
137c7a1290
144a5a9680
152dd77860
hex1dce2300

500048640 has 720 divisors, whose sum is σ = 2243723328. Its totient is φ = 103514112.

The previous prime is 500048621. The next prime is 500048683. The reversal of 500048640 is 46840005.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434854 + ... + 9434906.

Almost surely, 2500048640 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 500048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121861664).

500048640 is an abundant number, since it is smaller than the sum of its proper divisors (1743674688).

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

500048640 is a wasteful number, since it uses less digits than its factorization.

500048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 500048640 is about 22361.7673720124. The cubic root of 500048640 is about 793.7262622120.

Adding to 500048640 its reverse (46840005), we get a palindrome (546888645).

The spelling of 500048640 in words is "five hundred million, forty-eight thousand, six hundred forty".