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425579904 = 27321731701
BaseRepresentation
bin11001010111011…
…101010110000000
31002122210200212200
4121113131112000
51332422024104
6110121353200
713355240511
oct3127352600
91078720780
10425579904
111a9257532
12ba638800
136a229739
1440742a08
1527567b39
hex195dd580

425579904 has 192 divisors, whose sum is σ = 1340426880. Its totient is φ = 129024000.

The previous prime is 425579857. The next prime is 425579929. The reversal of 425579904 is 409975524.

425579904 is a `hidden beast` number, since 4 + 2 + 557 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4255799042 = 362236509377298432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 425579904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606754 + ... + 607454.

It is an arithmetic number, because the mean of its divisors is an integer number (6981390).

Almost surely, 2425579904 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 425579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670213440).

425579904 is an abundant number, since it is smaller than the sum of its proper divisors (914846976).

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

425579904 is a wasteful number, since it uses less digits than its factorization.

425579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 425579904 is about 20629.5880715055. The cubic root of 425579904 is about 752.1891028881.

The spelling of 425579904 in words is "four hundred twenty-five million, five hundred seventy-nine thousand, nine hundred four".