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426332160 = 212345257
BaseRepresentation
bin11001011010010…
…101000000000000
31002201012220210000
4121122111000000
51333120112120
6110145440000
713364522622
oct3132250000
91081186700
10426332160
111a9720731
12ba940000
136a430c67
144089ac12
1527665990
hex19695000

426332160 has 260 divisors, whose sum is σ = 1534239828. Its totient is φ = 113246208.

The previous prime is 426332149. The next prime is 426332177. The reversal of 426332160 is 61233624.

426332160 is a `hidden beast` number, since 4 + 2 + 633 + 21 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 318836736 + 107495424 = 17856^2 + 10368^2 .

It is a super-2 number, since 2×4263321602 = 363518221300531200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658752 + ... + 1659008.

Almost surely, 2426332160 is an apocalyptic number.

426332160 is a gapful number since it is divisible by the number (40) 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 426332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767119914).

426332160 is an abundant number, since it is smaller than the sum of its proper divisors (1107907668).

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

426332160 is an equidigital number, since it uses as much as digits as its factorization.

426332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 426332160 is about 20647.8124749330. The cubic root of 426332160 is about 752.6320324021.

Adding to 426332160 its reverse (61233624), we get a palindrome (487565784).

The spelling of 426332160 in words is "four hundred twenty-six million, three hundred thirty-two thousand, one hundred sixty".