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520522416 = 24339291297
BaseRepresentation
bin11111000001101…
…000101010110000
31100021110021112000
4133001220222300
52031223204131
6123352334000
715620240031
oct3701505260
91307407460
10520522416
11247904217
121263a4300
1383abc23b
144d1b8a88
1530a6dce6
hex1f068ab0

520522416 has 80 divisors (see below), whose sum is σ = 1496853600. Its totient is φ = 173187072.

The previous prime is 520522393. The next prime is 520522427. The reversal of 520522416 is 614225025.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 520522416.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 400680 + ... + 401976.

It is an arithmetic number, because the mean of its divisors is an integer number (18710670).

Almost surely, 2520522416 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 520522416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748426800).

520522416 is an abundant number, since it is smaller than the sum of its proper divisors (976331184).

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

520522416 is a wasteful number, since it uses less digits than its factorization.

520522416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 520522416 is about 22814.9603549951. The cubic root of 520522416 is about 804.4143553644.

The spelling of 520522416 in words is "five hundred twenty million, five hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 929 1297 1858 2594 2787 3716 3891 5188 5574 7432 7782 8361 10376 11148 11673 14864 15564 16722 20752 22296 23346 25083 31128 33444 35019 44592 46692 50166 62256 66888 70038 93384 100332 133776 140076 186768 200664 280152 401328 560304 1204913 2409826 3614739 4819652 7229478 9639304 10844217 14458956 19278608 21688434 28917912 32532651 43376868 57835824 65065302 86753736 130130604 173507472 260261208 520522416