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82675524 = 22323714219
BaseRepresentation
bin1001110110110…
…00011101000100
312202120100111110
410323120131010
5132131104044
612112005020
72022505341
oct473303504
9182510443
1082675524
1142739388
1223830770
1314189139
14ada17c8
1573d16b9
hex4ed8744

82675524 has 48 divisors (see below), whose sum is σ = 204180480. Its totient is φ = 25982880.

The previous prime is 82675511. The next prime is 82675561. The reversal of 82675524 is 42557628.

It is an unprimeable number.

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, 17487 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (4253760).

Almost surely, 282675524 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 82675524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102090240).

82675524 is an abundant number, since it is smaller than the sum of its proper divisors (121504956).

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

82675524 is a wasteful number, since it uses less digits than its factorization.

82675524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4318 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 82675524 is about 9092.6082066699. The cubic root of 82675524 is about 435.6378961921.

The spelling of 82675524 in words is "eighty-two million, six hundred seventy-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 852 1633 3266 4219 4899 6532 8438 9798 12657 16876 19596 25314 50628 97037 194074 291111 299549 388148 582222 599098 898647 1164444 1198196 1797294 3594588 6889627 13779254 20668881 27558508 41337762 82675524