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520964532 = 2232112412917
BaseRepresentation
bin11111000011010…
…100100110110100
31100022021201222200
4133003110212310
52031331331112
6123410024500
715624061014
oct3703244664
91308251880
10520964532
11248086400
12126578130
1383c1554a
144d291c44
1530b09cdc
hex1f0d49b4

520964532 has 108 divisors (see below), whose sum is σ = 1483295268. Its totient is φ = 153964800.

The previous prime is 520964531. The next prime is 520964537. The reversal of 520964532 is 235469025.

520964532 is a `hidden beast` number, since 5 + 2 + 0 + 9 + 645 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308213136 + 212751396 = 17556^2 + 14586^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520964531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177138 + ... + 180054.

Almost surely, 2520964532 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 520964532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741647634).

520964532 is an abundant number, since it is smaller than the sum of its proper divisors (962330736).

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

520964532 is a wasteful number, since it uses less digits than its factorization.

520964532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 520964532 is about 22824.6474671571. The cubic root of 520964532 is about 804.6420393235.

The spelling of 520964532 in words is "five hundred twenty million, nine hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 121 123 132 164 198 242 246 363 369 396 451 484 492 726 738 902 1089 1353 1452 1476 1804 2178 2706 2917 4059 4356 4961 5412 5834 8118 8751 9922 11668 14883 16236 17502 19844 26253 29766 32087 35004 44649 52506 59532 64174 89298 96261 105012 119597 128348 178596 192522 239194 288783 352957 358791 385044 478388 577566 705914 717582 1058871 1076373 1155132 1315567 1411828 1435164 2117742 2152746 2631134 3176613 3946701 4235484 4305492 5262268 6353226 7893402 11840103 12706452 14471237 15786804 23680206 28942474 43413711 47360412 57884948 86827422 130241133 173654844 260482266 520964532