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520008993 = 327103127631
BaseRepresentation
bin11110111111101…
…011010100100001
31100020111012020100
4132333223110201
52031110241433
6123333333013
715613001130
oct3677532441
91306435210
10520008993
112475934a9
12126197169
138396c63a
144d0c3917
15309bbb13
hex1efeb521

520008993 has 48 divisors (see below), whose sum is σ = 874971136. Its totient is φ = 291483360.

The previous prime is 520008961. The next prime is 520008997. The reversal of 520008993 is 399800025.

It is not a de Polignac number, because 520008993 - 25 = 520008961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520008997) 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, 823788 + ... + 824418.

Almost surely, 2520008993 is an apocalyptic number.

It is an amenable number.

520008993 is a deficient number, since it is larger than the sum of its proper divisors (354962143).

520008993 is a wasteful number, since it uses less digits than its factorization.

520008993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 520008993 is about 22803.7056856994. The cubic root of 520008993 is about 804.1497873817.

The spelling of 520008993 in words is "five hundred twenty million, eight thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 63 103 127 309 381 631 721 889 927 1143 1893 2163 2667 4417 5679 6489 8001 13081 13251 39243 39753 64993 80137 91567 117729 194979 240411 274701 454951 560959 584937 721233 824103 1364853 1682877 4094559 5048631 8254111 24762333 57778777 74286999 173336331 520008993