Search a number
-
+
468968256 = 263217471019
BaseRepresentation
bin11011111100111…
…110001101000000
31012200110001111200
4123330332031000
51430023441011
6114311341200
714423110251
oct3374761500
91180401450
10468968256
112207a1879
12111081800
137620b613
14463d8b28
152b288856
hex1bf3e340

468968256 has 168 divisors, whose sum is σ = 1454993280. Its totient is φ = 143855616.

The previous prime is 468968243. The next prime is 468968287. The reversal of 468968256 is 652869864.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459715 + ... + 460733.

Almost surely, 2468968256 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 468968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727496640).

468968256 is an abundant number, since it is smaller than the sum of its proper divisors (986025024).

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

468968256 is a wasteful number, since it uses less digits than its factorization.

468968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 468968256 is about 21655.6749144422. The cubic root of 468968256 is about 776.9286717169.

The spelling of 468968256 in words is "four hundred sixty-eight million, nine hundred sixty-eight thousand, two hundred fifty-six".