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528131772 = 223373531979
BaseRepresentation
bin11111011110101…
…010011010111100
31100210202212121000
4133132222122330
52040200204042
6124223410300
716042021530
oct3736523274
91323685530
10528131772
11251131243
12128a53990
138555490c
14501d9bc0
153157374c
hex1f7aa6bc

528131772 has 96 divisors (see below), whose sum is σ = 1570060800. Its totient is φ = 150391296.

The previous prime is 528131749. The next prime is 528131869. The reversal of 528131772 is 277131825.

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

528131772 is a Rhonda number in base 10.

Its product of digits (23520) is a multiple of the sum of its prime factors (2352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265879 + ... + 267857.

It is an arithmetic number, because the mean of its divisors is an integer number (16354800).

Almost surely, 2528131772 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 528131772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785030400).

528131772 is an abundant number, since it is smaller than the sum of its proper divisors (1041929028).

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

528131772 is a wasteful number, since it uses less digits than its factorization.

528131772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 528131772 is about 22981.1177273865. The cubic root of 528131772 is about 808.3152361934.

The spelling of 528131772 in words is "five hundred twenty-eight million, one hundred thirty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 353 378 706 756 1059 1412 1979 2118 2471 3177 3958 4236 4942 5937 6354 7413 7916 9531 9884 11874 12708 13853 14826 17811 19062 22239 23748 27706 29652 35622 38124 41559 44478 53433 55412 66717 71244 83118 88956 106866 124677 133434 166236 213732 249354 266868 374031 498708 698587 748062 1397174 1496124 2095761 2794348 4191522 4890109 6287283 8383044 9780218 12574566 14670327 18861849 19560436 25149132 29340654 37723698 44010981 58681308 75447396 88021962 132032943 176043924 264065886 528131772