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519442944 = 2933110909
BaseRepresentation
bin11110111101100…
…001001000000000
31100012102102202120
4132331201020000
52030434133234
6123313244240
715605122626
oct3675411000
91305372676
10519442944
11247237199
12125b63680
1383801ab7
144cdb7516
1530909049
hex1ef61200

519442944 has 80 divisors (see below), whose sum is σ = 1428599040. Its totient is φ = 167546880.

The previous prime is 519442907. The next prime is 519442951. The reversal of 519442944 is 449244915.

It is a junction number, because it is equal to n+sod(n) for n = 519442896 and 519442905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42162 + ... + 53070.

It is an arithmetic number, because the mean of its divisors is an integer number (17857488).

Almost surely, 2519442944 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 519442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714299520).

519442944 is an abundant number, since it is smaller than the sum of its proper divisors (909156096).

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

519442944 is a wasteful number, since it uses less digits than its factorization.

519442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961 (or 10945 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 519442944 is about 22791.2909682624. The cubic root of 519442944 is about 803.8578991951.

The spelling of 519442944 in words is "five hundred nineteen million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 10909 11904 15872 21818 23808 32727 43636 47616 65454 87272 130908 174544 261816 338179 349088 523632 676358 698176 1014537 1047264 1352716 1396352 2029074 2094528 2705432 2792704 4058148 4189056 5410864 5585408 8116296 8378112 10821728 16232592 16756224 21643456 32465184 43286912 64930368 86573824 129860736 173147648 259721472 519442944