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517505872 = 24132488009
BaseRepresentation
bin11110110110001…
…000001101010000
31100001210000121011
4132312020031100
52024440141442
6123203540304
715552504322
oct3666101520
91301700534
10517505872
11246133904
1212538a694
13832a41c0
144ca31612
1530675117
hex1ed88350

517505872 has 20 divisors (see below), whose sum is σ = 1079796340. Its totient is φ = 238848768.

The previous prime is 517505867. The next prime is 517505873. The reversal of 517505872 is 278505715.

It can be written as a sum of positive squares in 2 ways, for example, as 162409536 + 355096336 = 12744^2 + 18844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517505873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1243797 + ... + 1244212.

It is an arithmetic number, because the mean of its divisors is an integer number (53989817).

Almost surely, 2517505872 is an apocalyptic number.

517505872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

517505872 is an abundant number, since it is smaller than the sum of its proper divisors (562290468).

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

517505872 is a wasteful number, since it uses less digits than its factorization.

517505872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488030 (or 2488024 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 40.

The square root of 517505872 is about 22748.7553945265. The cubic root of 517505872 is about 802.8574234296.

The spelling of 517505872 in words is "five hundred seventeen million, five hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 2488009 4976018 9952036 19904072 32344117 39808144 64688234 129376468 258752936 517505872