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81609696 = 2532725783
BaseRepresentation
bin1001101110101…
…00001111100000
312200120012110100
410313110033200
5131343002241
612033102400
72010446100
oct467241740
9180505410
1081609696
1142080633
12233b7a00
1313ba4c7c
14aba5200
1572709b6
hex4dd43e0

81609696 has 108 divisors (see below), whose sum is σ = 270014472. Its totient is φ = 23313024.

The previous prime is 81609659. The next prime is 81609709. The reversal of 81609696 is 69690618.

81609696 is a modest number, since divided by 9696 gives 8160 as remainder.

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 17 ways as a sum of consecutive naturals, for example, 11221 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (2500134).

Almost surely, 281609696 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 81609696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135007236).

81609696 is an abundant number, since it is smaller than the sum of its proper divisors (188404776).

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

81609696 is a wasteful number, since it uses less digits than its factorization.

81609696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 81609696 is about 9033.8084991879. The cubic root of 81609696 is about 433.7577558984.

The spelling of 81609696 in words is "eighty-one million, six hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 5783 7056 11566 14112 17349 23132 34698 40481 46264 52047 69396 80962 92528 104094 121443 138792 161924 185056 208188 242886 277584 283367 323848 364329 416376 485772 555168 566734 647696 728658 832752 850101 971544 1133468 1295392 1457316 1665504 1700202 1943088 2266936 2550303 2914632 3400404 3886176 4533872 5100606 5829264 6800808 9067744 10201212 11658528 13601616 20402424 27203232 40804848 81609696