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520529152 = 28111359241
BaseRepresentation
bin11111000001101…
…010010100000000
31100021110121202111
4133001222110000
52031223413102
6123352425104
715620265463
oct3701522400
91307417674
10520529152
11247909290
121263a8194
1383ac2320
144d1bb2da
1530a70cd7
hex1f06a500

520529152 has 144 divisors (see below), whose sum is σ = 1246512960. Its totient is φ = 213811200.

The previous prime is 520529129. The next prime is 520529197. The reversal of 520529152 is 251925025.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2159752 + ... + 2159992.

It is an arithmetic number, because the mean of its divisors is an integer number (8656340).

Almost surely, 2520529152 is an apocalyptic number.

520529152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623256480).

520529152 is an abundant number, since it is smaller than the sum of its proper divisors (725983808).

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

520529152 is a wasteful number, since it uses less digits than its factorization.

520529152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 520529152 is about 22815.1079769525. The cubic root of 520529152 is about 804.4178252833.

The spelling of 520529152 in words is "five hundred twenty million, five hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 59 64 88 104 118 128 143 176 208 236 241 256 286 352 416 472 482 572 649 704 767 832 944 964 1144 1298 1408 1534 1664 1888 1928 2288 2596 2651 2816 3068 3133 3328 3776 3856 4576 5192 5302 6136 6266 7552 7712 8437 9152 10384 10604 12272 12532 14219 15104 15424 16874 18304 20768 21208 24544 25064 28438 30848 33748 34463 36608 41536 42416 49088 50128 56876 61696 67496 68926 83072 84832 98176 100256 113752 134992 137852 156409 166144 169664 184847 196352 200512 227504 269984 275704 312818 339328 369694 401024 455008 539968 551408 625636 678656 739388 802048 910016 1079936 1102816 1251272 1478776 1820032 2033317 2159872 2205632 2502544 2957552 3640064 4066634 4411264 5005088 5915104 8133268 8822528 10010176 11830208 16266536 20020352 23660416 32533072 40040704 47320832 65066144 130132288 260264576 520529152