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528354216 = 2332135091109
BaseRepresentation
bin11111011111100…
…000101110101000
31100211012011201200
4133133200232220
52040224313331
6124232244200
716043636205
oct3737405650
91324164650
10528354216
11251273385
12128b40660
1385601c40
1450256cac
15315b95e6
hex1f7e0ba8

528354216 has 96 divisors (see below), whose sum is σ = 1545453000. Its totient is φ = 162104832.

The previous prime is 528354143. The next prime is 528354251. The reversal of 528354216 is 612453825.

It can be written as a sum of positive squares in 4 ways, for example, as 284057316 + 244296900 = 16854^2 + 15630^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475870 + ... + 476978.

Almost surely, 2528354216 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 528354216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772726500).

528354216 is an abundant number, since it is smaller than the sum of its proper divisors (1017098784).

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

528354216 is a wasteful number, since it uses less digits than its factorization.

528354216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1636 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 528354216 is about 22985.9569302651. The cubic root of 528354216 is about 808.4287051203.

The spelling of 528354216 in words is "five hundred twenty-eight million, three hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 509 936 1018 1109 1527 2036 2218 3054 3327 4072 4436 4581 6108 6617 6654 8872 9162 9981 12216 13234 13308 14417 18324 19851 19962 26468 26616 28834 36648 39702 39924 43251 52936 57668 59553 79404 79848 86502 115336 119106 129753 158808 173004 238212 259506 346008 476424 519012 564481 1038024 1128962 1693443 2257924 3386886 4515848 5080329 6773772 7338253 10160658 13547544 14676506 20321316 22014759 29353012 40642632 44029518 58706024 66044277 88059036 132088554 176118072 264177108 528354216