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82909596 = 223711531693
BaseRepresentation
bin1001111000100…
…01100110011100
312210000020120210
410330101212130
5132211101341
612121012420
72024501640
oct474214634
9183006523
1082909596
1142889230
1223924110
131423b843
14b022c20
15742ac16
hex4f1199c

82909596 has 96 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 21116160.

The previous prime is 82909583. The next prime is 82909601. The reversal of 82909596 is 69590928.

It is a super-2 number, since 2×829095962 = 13748002217766432, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 48126 + ... + 49818.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 282909596 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 82909596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

82909596 is an abundant number, since it is smaller than the sum of its proper divisors (162977892).

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

82909596 is a wasteful number, since it uses less digits than its factorization.

82909596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 82909596 is about 9105.4706632881. The cubic root of 82909596 is about 436.0486366639.

The spelling of 82909596 in words is "eighty-two million, nine hundred nine thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 106 132 154 159 212 231 308 318 371 462 583 636 742 924 1113 1166 1484 1693 1749 2226 2332 3386 3498 4081 4452 5079 6772 6996 8162 10158 11851 12243 16324 18623 20316 23702 24486 35553 37246 47404 48972 55869 71106 74492 89729 111738 130361 142212 179458 223476 260722 269187 358916 391083 521444 538374 628103 782166 987019 1076748 1256206 1564332 1884309 1974038 2512412 2961057 3768618 3948076 5922114 6909133 7537236 11844228 13818266 20727399 27636532 41454798 82909596