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421026624 = 263217193173
BaseRepresentation
bin11001000110000…
…101101101000000
31002100020100221200
4121012011231000
51330240322444
6105440021200
713301444604
oct3106055500
91070210850
10421026624
111a6727597
12b9001800
13692c40a5
143dcb9504
1526e68969
hex19185b40

421026624 has 336 divisors, whose sum is σ = 1407444480. Its totient is φ = 119439360.

The previous prime is 421026583. The next prime is 421026637. The reversal of 421026624 is 426620124.

421026624 is a `hidden beast` number, since 4 + 2 + 10 + 26 + 624 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5767452 + ... + 5767524.

Almost surely, 2421026624 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 421026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703722240).

421026624 is an abundant number, since it is smaller than the sum of its proper divisors (986417856).

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

421026624 is a wasteful number, since it uses less digits than its factorization.

421026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 421026624 is about 20518.9333056083. The cubic root of 421026624 is about 749.4969212912.

Adding to 421026624 its reverse (426620124), we get a palindrome (847646748).

The spelling of 421026624 in words is "four hundred twenty-one million, twenty-six thousand, six hundred twenty-four".