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519092442 = 233111396287
BaseRepresentation
bin11110111100001…
…011100011011010
31100011202121222000
4132330023203122
52030341424232
6123301541430
715602133021
oct3674134332
91304677860
10519092442
11247017920
12125a14876
138370b3bb
144cd258b8
153088a27c
hex1ef0b8da

519092442 has 64 divisors (see below), whose sum is σ = 1267660800. Its totient is φ = 156144240.

The previous prime is 519092437. The next prime is 519092459. The reversal of 519092442 is 244290915.

It is a junction number, because it is equal to n+sod(n) for n = 519092397 and 519092406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79423 + ... + 85709.

It is an arithmetic number, because the mean of its divisors is an integer number (19807200).

Almost surely, 2519092442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 519092442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633830400).

519092442 is an abundant number, since it is smaller than the sum of its proper divisors (748568358).

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

519092442 is a wasteful number, since it uses less digits than its factorization.

519092442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 519092442 is about 22783.6002861708. The cubic root of 519092442 is about 803.6770534121.

The spelling of 519092442 in words is "five hundred nineteen million, ninety-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 139 198 278 297 417 594 834 1251 1529 2502 3058 3753 4587 6287 7506 9174 12574 13761 18861 27522 37722 41283 56583 69157 82566 113166 138314 169749 207471 339498 414942 622413 873893 1244826 1747786 1867239 2621679 3734478 5243358 7865037 9612823 15730074 19225646 23595111 28838469 47190222 57676938 86515407 173030814 259546221 519092442