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520430976 = 273213193159
BaseRepresentation
bin11111000001010…
…010010110000000
31100021021122002100
4133001102112000
52031212242401
6123350350400
715616406322
oct3701222600
91307248070
10520430976
1124785154a
1212635b400
1383a89730
144d193612
1530a51b86
hex1f052580

520430976 has 384 divisors, whose sum is σ = 1782144000. Its totient is φ = 144322560.

The previous prime is 520430941. The next prime is 520430993. The reversal of 520430976 is 679034025.

520430976 is a `hidden beast` number, since 520 + 43 + 0 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 520430976.

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, 8820835 + ... + 8820893.

It is an arithmetic number, because the mean of its divisors is an integer number (4641000).

Almost surely, 2520430976 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 520430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072000).

520430976 is an abundant number, since it is smaller than the sum of its proper divisors (1261713024).

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

520430976 is a wasteful number, since it uses less digits than its factorization.

520430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 520430976 is about 22812.9563187238. The cubic root of 520430976 is about 804.3672488716.

The spelling of 520430976 in words is "five hundred twenty million, four hundred thirty thousand, nine hundred seventy-six".