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527861980 = 225374353313
BaseRepresentation
bin11111011101101…
…000100011011100
31100210021011111201
4133131220203130
52040113040410
6124213525244
716036516132
oct3735504334
91323234451
10527861980
11250a67578
12128943824
138548bb89
1450169752
153151d83a
hex1f7688dc

527861980 has 96 divisors (see below), whose sum is σ = 1190718144. Its totient is φ = 196245504.

The previous prime is 527861977. The next prime is 527861981. The reversal of 527861980 is 89168725.

It is a self number, because there is not a number n which added to its sum of digits gives 527861980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527861981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1686304 + ... + 1686616.

It is an arithmetic number, because the mean of its divisors is an integer number (12403314).

Almost surely, 2527861980 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 527861980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595359072).

527861980 is an abundant number, since it is smaller than the sum of its proper divisors (662856164).

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

527861980 is a wasteful number, since it uses less digits than its factorization.

527861980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 527861980 is about 22975.2471151019. The cubic root of 527861980 is about 808.1775722361.

The spelling of 527861980 in words is "five hundred twenty-seven million, eight hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 43 53 74 86 106 148 172 185 212 215 265 313 370 430 530 626 740 860 1060 1252 1565 1591 1961 2279 3130 3182 3922 4558 6260 6364 7844 7955 9116 9805 11395 11581 13459 15910 16589 19610 22790 23162 26918 31820 33178 39220 45580 46324 53836 57905 66356 67295 82945 84323 115810 134590 165890 168646 231620 269180 331780 337292 421615 497983 613793 713327 843230 995966 1227586 1426654 1686460 1991932 2455172 2489915 2853308 3068965 3566635 4979830 6137930 7133270 9959660 12275860 14266540 26393099 52786198 105572396 131965495 263930990 527861980