Search a number
-
+
649389312 = 2835111373
BaseRepresentation
bin100110101101001…
…110010100000000
31200020221101200000
4212231032110000
52312220424222
6144234400000
722043501205
oct4655162400
91606841600
10649389312
11303621890
12161590000
13a46cc040
1462361cac
153c0269ac
hex26b4e500

649389312 has 432 divisors, whose sum is σ = 2312401728. Its totient is φ = 179159040.

The previous prime is 649389289. The next prime is 649389317. The reversal of 649389312 is 213983946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649389317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895708 + ... + 8895780.

Almost surely, 2649389312 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 649389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156200864).

649389312 is an abundant number, since it is smaller than the sum of its proper divisors (1663012416).

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

649389312 is a wasteful number, since it uses less digits than its factorization.

649389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 649389312 is about 25483.1181765497. The cubic root of 649389312 is about 865.9677373498.

The spelling of 649389312 in words is "six hundred forty-nine million, three hundred eighty-nine thousand, three hundred twelve".