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520822944 = 253253149229
BaseRepresentation
bin11111000010110…
…010000010100000
31100022000112202200
4133002302002200
52031312313234
6123403013200
715622631145
oct3702620240
91308015680
10520822944
11247a99a94
1212650a200
1383b95c75
144d2563cc
1530accd99
hex1f0b20a0

520822944 has 144 divisors (see below), whose sum is σ = 1525797000. Its totient is φ = 168450048.

The previous prime is 520822943. The next prime is 520822949. The reversal of 520822944 is 449228025.

It can be written as a sum of positive squares in 4 ways, for example, as 492307344 + 28515600 = 22188^2 + 5340^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 520822899 and 520822908.

It is not an unprimeable number, because it can be changed into a prime (520822943) 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 in 23 ways as a sum of consecutive naturals, for example, 2274222 + ... + 2274450.

Almost surely, 2520822944 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 520822944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762898500).

520822944 is an abundant number, since it is smaller than the sum of its proper divisors (1004974056).

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

520822944 is a wasteful number, since it uses less digits than its factorization.

520822944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 520822944 is about 22821.5456093578. The cubic root of 520822944 is about 804.5691373806.

The spelling of 520822944 in words is "five hundred twenty million, eight hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 149 159 212 229 288 298 318 424 447 458 477 596 636 687 848 894 916 954 1192 1272 1341 1374 1696 1788 1832 1908 2061 2384 2544 2682 2748 3576 3664 3816 4122 4768 5088 5364 5496 7152 7328 7632 7897 8244 10728 10992 12137 14304 15264 15794 16488 21456 21984 23691 24274 31588 32976 34121 36411 42912 47382 48548 63176 65952 68242 71073 72822 94764 97096 102363 109233 126352 136484 142146 145644 189528 194192 204726 218466 252704 272968 284292 291288 307089 379056 388384 409452 436932 545936 568584 582576 614178 758112 818904 873864 1091872 1137168 1165152 1228356 1637808 1747728 1808413 2274336 2456712 3275616 3495456 3616826 4913424 5425239 7233652 9826848 10850478 14467304 16275717 21700956 28934608 32551434 43401912 57869216 65102868 86803824 130205736 173607648 260411472 520822944