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519716864 = 21431721
BaseRepresentation
bin11110111110100…
…100000000000000
31100012221100111202
4132332210000000
52031021414424
6123323200332
715610343342
oct3676440000
91305840452
10519716864
11247403a77
121260760a8
1383899694
144d049292
15309602ae
hex1efa4000

519716864 has 30 divisors (see below), whose sum is σ = 1039434774. Its totient is φ = 259850240.

The previous prime is 519716863. The next prime is 519716881. The reversal of 519716864 is 468617915.

It can be written as a sum of positive squares in only one way, i.e., 303038464 + 216678400 = 17408^2 + 14720^2 .

It is not an unprimeable number, because it can be changed into a prime (519716863) by changing a digit.

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 as a sum of consecutive naturals, namely, 524 + ... + 32244.

Almost surely, 2519716864 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 519716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519717387).

519716864 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

519716864 is an frugal number, since it uses more digits than its factorization.

519716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31749 (or 31723 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 519716864 is about 22797.2994891939. The cubic root of 519716864 is about 803.9991749371. Note that the first 3 decimals are identical.

The spelling of 519716864 in words is "five hundred nineteen million, seven hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 31721 63442 126884 253768 507536 1015072 2030144 4060288 8120576 16241152 32482304 64964608 129929216 259858432 519716864