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426411072 = 26321947829
BaseRepresentation
bin11001011010101…
…000010001000000
31002201100221000200
4121122220101000
51333130123242
6110151245200
713365301653
oct3132502100
91081327020
10426411072
111a9774a4a
12ba979800
136a45ab59
14408bb89a
152767e04c
hex196a8440

426411072 has 168 divisors, whose sum is σ = 1315516800. Its totient is φ = 131632128.

The previous prime is 426411049. The next prime is 426411077. The reversal of 426411072 is 270114624.

426411072 is a `hidden beast` number, since 4 + 2 + 641 + 10 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (426411077) 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, 513954 + ... + 514782.

Almost surely, 2426411072 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 426411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657758400).

426411072 is an abundant number, since it is smaller than the sum of its proper divisors (889105728).

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

426411072 is a wasteful number, since it uses less digits than its factorization.

426411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 426411072 is about 20649.7232911243. The cubic root of 426411072 is about 752.6784657081.

Adding to 426411072 its reverse (270114624), we get a palindrome (696525696).

The spelling of 426411072 in words is "four hundred twenty-six million, four hundred eleven thousand, seventy-two".