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82541528 = 231741113131
BaseRepresentation
bin1001110101101…
…11101111011000
312202022112200122
410322313233120
5132112312103
612105052412
72021406566
oct472675730
9182275618
1082541528
1142657743
1223787108
1314140154
14ad68a36
1573a6b38
hex4eb7bd8

82541528 has 64 divisors (see below), whose sum is σ = 170644320. Its totient is φ = 37273600.

The previous prime is 82541507. The next prime is 82541551. The reversal of 82541528 is 82514528.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 630023 + ... + 630153.

Almost surely, 282541528 is an apocalyptic number.

It is an amenable number.

82541528 is an abundant number, since it is smaller than the sum of its proper divisors (88102792).

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

82541528 is a wasteful number, since it uses less digits than its factorization.

82541528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its digits is 25600, while the sum is 35.

The square root of 82541528 is about 9085.2368158458. The cubic root of 82541528 is about 435.4024161795.

Subtracting from 82541528 its reverse (82514528), we obtain a cube (27000 = 303).

The spelling of 82541528 in words is "eighty-two million, five hundred forty-one thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 17 34 41 68 82 113 131 136 164 226 262 328 452 524 697 904 1048 1394 1921 2227 2788 3842 4454 4633 5371 5576 7684 8908 9266 10742 14803 15368 17816 18532 21484 29606 37064 42968 59212 78761 91307 118424 157522 182614 251651 315044 365228 503302 606923 630088 730456 1006604 1213846 2013208 2427692 4855384 10317691 20635382 41270764 82541528