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426002040 = 2332519611021
BaseRepresentation
bin11001011001000…
…100011001111000
31002200121010221100
4121121010121320
51333024031130
6110134411400
713361646312
oct3131043170
91080533840
10426002040
111a9515702
12ba800b60
136a346919
14408127b2
15275ecc60
hex19644678

426002040 has 192 divisors, whose sum is σ = 1482717600. Its totient is φ = 105753600.

The previous prime is 426002039. The next prime is 426002051. The reversal of 426002040 is 40200624.

426002040 is a `hidden beast` number, since 4 + 2 + 600 + 20 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416730 + ... + 417750.

Almost surely, 2426002040 is an apocalyptic number.

426002040 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 426002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741358800).

426002040 is an abundant number, since it is smaller than the sum of its proper divisors (1056715560).

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

426002040 is a wasteful number, since it uses less digits than its factorization.

426002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 426002040 is about 20639.8168596526. The cubic root of 426002040 is about 752.4377214346.

Adding to 426002040 its reverse (40200624), we get a palindrome (466202664).

The spelling of 426002040 in words is "four hundred twenty-six million, two thousand, forty".