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426140352 = 2635114753
BaseRepresentation
bin11001011001100…
…110001011000000
31002200212011200000
4121121212023000
51333042442402
6110141400000
713363063461
oct3131461300
91080764600
10426140352
111a95aa610
12ba869000
136a394871
144084ad68
1527628c1c
hex196662c0

426140352 has 336 divisors, whose sum is σ = 1437875712. Its totient is φ = 124001280.

The previous prime is 426140339. The next prime is 426140357. The reversal of 426140352 is 253041624.

426140352 is a `hidden beast` number, since 42 + 614 + 0 + 3 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (426140357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8040358 + ... + 8040410.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2426140352 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 426140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

426140352 is an abundant number, since it is smaller than the sum of its proper divisors (1011735360).

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

426140352 is a wasteful number, since it uses less digits than its factorization.

426140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426140352 is about 20643.1671988578. The cubic root of 426140352 is about 752.5191450705.

Adding to 426140352 its reverse (253041624), we get a palindrome (679181976).

The spelling of 426140352 in words is "four hundred twenty-six million, one hundred forty thousand, three hundred fifty-two".