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528155680 = 25513318191
BaseRepresentation
bin11111011110110…
…000010000100000
31100210211002101111
4133132300100200
52040201440210
6124224113104
716042151323
oct3736602040
91323732344
10528155680
112511481a8
12128a65794
1385562770
14502047ba
153157a88a
hex1f7b0420

528155680 has 96 divisors (see below), whose sum is σ = 1387266048. Its totient is φ = 188697600.

The previous prime is 528155651. The next prime is 528155689. The reversal of 528155680 is 86551825.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (528155689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60385 + ... + 68575.

It is an arithmetic number, because the mean of its divisors is an integer number (14450688).

Almost surely, 2528155680 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 528155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693633024).

528155680 is an abundant number, since it is smaller than the sum of its proper divisors (859110368).

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

528155680 is a wasteful number, since it uses less digits than its factorization.

528155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The square root of 528155680 is about 22981.6378876702. The cubic root of 528155680 is about 808.3274332182.

The spelling of 528155680 in words is "five hundred twenty-eight million, one hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2480 3224 4030 4960 6448 8060 8191 12896 16120 16382 32240 32764 40955 64480 65528 81910 106483 131056 163820 212966 253921 262112 327640 425932 507842 532415 655280 851864 1015684 1064830 1269605 1310560 1703728 2031368 2129660 2539210 3300973 3407456 4062736 4259320 5078420 6601946 8125472 8518640 10156840 13203892 16504865 17037280 20313680 26407784 33009730 40627360 52815568 66019460 105631136 132038920 264077840 528155680