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82528758 = 23213312367
BaseRepresentation
bin1001110101101…
…00100111110110
312202021220011200
410322310213312
5132111410013
612104513330
72021324424
oct472644766
9182256150
1082528758
1142649094
122377b846
13141373b0
14ad64114
1573a2e73
hex4eb49f6

82528758 has 72 divisors (see below), whose sum is σ = 199521504. Its totient is φ = 24507360.

The previous prime is 82528717. The next prime is 82528781. The reversal of 82528758 is 85782528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224691 + ... + 225057.

It is an arithmetic number, because the mean of its divisors is an integer number (2771132).

Almost surely, 282528758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82528758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99760752).

82528758 is an abundant number, since it is smaller than the sum of its proper divisors (116992746).

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

82528758 is a wasteful number, since it uses less digits than its factorization.

82528758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 416 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 82528758 is about 9084.5340001565. The cubic root of 82528758 is about 435.3799613185.

The spelling of 82528758 in words is "eighty-two million, five hundred twenty-eight thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 367 403 558 734 806 961 1101 1209 1922 2202 2418 2883 3303 3627 4771 5766 6606 7254 8649 9542 11377 12493 14313 17298 22754 24986 28626 34131 37479 42939 68262 74958 85878 102393 112437 147901 204786 224874 295802 352687 443703 705374 887406 1058061 1331109 2116122 2662218 3174183 4584931 6348366 9169862 13754793 27509586 41264379 82528758