Search a number
-
+
467384256 = 263541733
BaseRepresentation
bin11011110110111…
…011011111000000
31012120110120200000
4123312323133000
51424122244011
6114213400000
714403462213
oct3366733700
91176416600
10467384256
1121a90a789
12110639000
1375aa5641
144610577a
152b074356
hex1bdbb7c0

467384256 has 168 divisors, whose sum is σ = 1425116784. Its totient is φ = 151787520.

The previous prime is 467384251. The next prime is 467384279. The reversal of 467384256 is 652483764.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467384251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637266 + ... + 637998.

It is an arithmetic number, because the mean of its divisors is an integer number (8482838).

Almost surely, 2467384256 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 467384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712558392).

467384256 is an abundant number, since it is smaller than the sum of its proper divisors (957732528).

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

467384256 is an equidigital number, since it uses as much as digits as its factorization.

467384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 467384256 is about 21619.0715804356. The cubic root of 467384256 is about 776.0529598602.

The spelling of 467384256 in words is "four hundred sixty-seven million, three hundred eighty-four thousand, two hundred fifty-six".