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81696096 = 2532331857
BaseRepresentation
bin1001101111010…
…01010101100000
312200201120222100
410313221111200
5131403233341
612035010400
72011256016
oct467512540
9180646870
1081696096
114212a539
1223439a00
1313c053b1
14abc88b6
15728b3b6
hex4de9560

81696096 has 72 divisors (see below), whose sum is σ = 233297064. Its totient is φ = 27118080.

The previous prime is 81696073. The next prime is 81696119. The reversal of 81696096 is 69069618.

It is an interprime number because it is at equal distance from previous prime (81696073) and next prime (81696119).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 94900 + ... + 95756.

It is an arithmetic number, because the mean of its divisors is an integer number (3240237).

Almost surely, 281696096 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 81696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116648532).

81696096 is an abundant number, since it is smaller than the sum of its proper divisors (151600968).

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

81696096 is a wasteful number, since it uses less digits than its factorization.

81696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1193 counting only the distinct ones).

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

The square root of 81696096 is about 9038.5892704559. The cubic root of 81696096 is about 433.9107746949.

The spelling of 81696096 in words is "eighty-one million, six hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331 662 857 993 1324 1714 1986 2571 2648 2979 3428 3972 5142 5296 5958 6856 7713 7944 10284 10592 11916 13712 15426 15888 20568 23832 27424 30852 31776 41136 47664 61704 82272 95328 123408 246816 283667 567334 851001 1134668 1702002 2269336 2553003 3404004 4538672 5106006 6808008 9077344 10212012 13616016 20424024 27232032 40848048 81696096