Search a number
-
+
426422304 = 253272114167
BaseRepresentation
bin11001011010101…
…011000000100000
31002201101111102200
4121122223000200
51333131003204
6110151413200
713365346500
oct3132530040
91081344380
10426422304
111a9782430
12ba984200
136a462cb9
14408c1a00
1527682539
hex196ab020

426422304 has 432 divisors, whose sum is σ = 1599919776. Its totient is φ = 106444800.

The previous prime is 426422287. The next prime is 426422327. The reversal of 426422304 is 403224624.

426422304 is a `hidden beast` number, since 426 + 4 + 2 + 230 + 4 = 666.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6364479 + ... + 6364545.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518).

Almost surely, 2426422304 is an apocalyptic number.

426422304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799959888).

426422304 is an abundant number, since it is smaller than the sum of its proper divisors (1173497472).

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

426422304 is a wasteful number, since it uses less digits than its factorization.

426422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 426422304 is about 20649.9952542367. The cubic root of 426422304 is about 752.6850743626.

Adding to 426422304 its reverse (403224624), we get a palindrome (829646928).

The spelling of 426422304 in words is "four hundred twenty-six million, four hundred twenty-two thousand, three hundred four".