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520058880 = 2113551119
BaseRepresentation
bin11110111111110…
…111100000000000
31100020120201200000
4132333313200000
52031113341010
6123334400000
715613266435
oct3677674000
91306521600
10520058880
11247617a30
12126200000
1383989263
144d0d7b8c
15309cb7c0
hex1eff7800

520058880 has 576 divisors, whose sum is σ = 2146435200. Its totient is φ = 119439360.

The previous prime is 520058867. The next prime is 520058887. The reversal of 520058880 is 88850025.

520058880 is a `hidden beast` number, since 520 + 0 + 58 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5200588802 = 540922477333708800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520058887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371511 + ... + 27371529.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2520058880 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 520058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

520058880 is an abundant number, since it is smaller than the sum of its proper divisors (1626376320).

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

520058880 is a wasteful number, since it uses less digits than its factorization.

520058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 520058880 is about 22804.7994948432. The cubic root of 520058880 is about 804.1755018970.

The spelling of 520058880 in words is "five hundred twenty million, fifty-eight thousand, eight hundred eighty".