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520736328 = 233272672203
BaseRepresentation
bin11111000010011…
…100111001001000
31100021212010221200
4133002130321020
52031302030303
6123401104200
715622120500
oct3702347110
91307763850
10520736328
11247a3aa02
12126488060
1383b65708
144d232a00
1530ab23a3
hex1f09ce48

520736328 has 144 divisors (see below), whose sum is σ = 1665827280. Its totient is φ = 146494656.

The previous prime is 520736323. The next prime is 520736341. The reversal of 520736328 is 823637025.

520736328 is a `hidden beast` number, since 520 + 73 + 63 + 2 + 8 = 666.

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 = 520736292 and 520736301.

It is not an unprimeable number, because it can be changed into a prime (520736323) 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, 235275 + ... + 237477.

It is an arithmetic number, because the mean of its divisors is an integer number (11568245).

Almost surely, 2520736328 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 520736328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832913640).

520736328 is an abundant number, since it is smaller than the sum of its proper divisors (1145090952).

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

520736328 is a wasteful number, since it uses less digits than its factorization.

520736328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 520736328 is about 22819.6478500436. The cubic root of 520736328 is about 804.5245333395.

The spelling of 520736328 in words is "five hundred twenty million, seven hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 67 72 84 98 126 134 147 168 196 201 252 268 294 392 402 441 469 504 536 588 603 804 882 938 1176 1206 1407 1608 1764 1876 2203 2412 2814 3283 3528 3752 4221 4406 4824 5628 6566 6609 8442 8812 9849 11256 13132 13218 15421 16884 17624 19698 19827 26264 26436 29547 30842 33768 39396 39654 46263 52872 59094 61684 78792 79308 92526 107947 118188 123368 138789 147601 158616 185052 215894 236376 277578 295202 323841 370104 431788 442803 555156 590404 647682 863576 885606 971523 1033207 1110312 1180808 1295364 1328409 1771212 1943046 2066414 2590728 2656818 3099621 3542424 3886092 4132828 5313636 6199242 7232449 7772184 8265656 9298863 10627272 12398484 14464898 18597726 21697347 24796968 28929796 37195452 43394694 57859592 65092041 74390904 86789388 130184082 173578776 260368164 520736328