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521080064 = 2811318013
BaseRepresentation
bin11111000011110…
…000110100000000
31100022111121110122
4133003300310000
52031344030224
6123412315412
715625051601
oct3703606400
91308447418
10521080064
1124815518a
12126612b68
1383c55ccb
144d2c1da8
1530b2e15e
hex1f0f0d00

521080064 has 36 divisors (see below), whose sum is σ = 1049387556. Its totient is φ = 258220032.

The previous prime is 521080061. The next prime is 521080103. The reversal of 521080064 is 460080125.

It can be written as a sum of positive squares in 2 ways, for example, as 225240064 + 295840000 = 15008^2 + 17200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521080061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19922 + ... + 37934.

Almost surely, 2521080064 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 521080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524693778).

521080064 is an abundant number, since it is smaller than the sum of its proper divisors (528307492).

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

521080064 is a wasteful number, since it uses less digits than its factorization.

521080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18142 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 521080064 is about 22827.1781874151. The cubic root of 521080064 is about 804.7015155625.

The spelling of 521080064 in words is "five hundred twenty-one million, eighty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1808 3616 7232 14464 18013 28928 36026 72052 144104 288208 576416 1152832 2035469 2305664 4070938 4611328 8141876 16283752 32567504 65135008 130270016 260540032 521080064