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520089264 = 243241137643
BaseRepresentation
bin11110111111111…
…110111010110000
31100020122021100100
4132333332322300
52031120324024
6123335152400
715613454142
oct3677767260
91306567310
10520089264
11247638842
12126215700
138399a036
144d104c92
15309d57c9
hex1effeeb0

520089264 has 120 divisors (see below), whose sum is σ = 1504247472. Its totient is φ = 167639040.

The previous prime is 520089253. The next prime is 520089301. The reversal of 520089264 is 462980025.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808527 + ... + 809169.

Almost surely, 2520089264 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 520089264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752123736).

520089264 is an abundant number, since it is smaller than the sum of its proper divisors (984158208).

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

520089264 is a wasteful number, since it uses less digits than its factorization.

520089264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 520089264 is about 22805.4656606700. The cubic root of 520089264 is about 804.1911626831.

The spelling of 520089264 in words is "five hundred twenty million, eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 137 144 164 246 274 328 369 411 492 548 643 656 738 822 984 1096 1233 1286 1476 1644 1929 1968 2192 2466 2572 2952 3288 3858 4932 5144 5617 5787 5904 6576 7716 9864 10288 11234 11574 15432 16851 19728 22468 23148 26363 30864 33702 44936 46296 50553 52726 67404 79089 88091 89872 92592 101106 105452 134808 158178 176182 202212 210904 237267 264273 269616 316356 352364 404424 421808 474534 528546 632712 704728 792819 808848 949068 1057092 1265424 1409456 1585638 1898136 2114184 3171276 3611731 3796272 4228368 6342552 7223462 10835193 12685104 14446924 21670386 28893848 32505579 43340772 57787696 65011158 86681544 130022316 173363088 260044632 520089264