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96819756 = 223111136491
BaseRepresentation
bin1011100010101…
…01101000101100
320202011221201220
411301111220230
5144241213011
613335103340
72253645225
oct561255054
9222157656
1096819756
114a71a130
1228511b50
131709c0c7
14cc0424c
158777506
hex5c55a2c

96819756 has 48 divisors (see below), whose sum is σ = 248669568. Its totient is φ = 29075200.

The previous prime is 96819733. The next prime is 96819769. The reversal of 96819756 is 65791869.

It is a junction number, because it is equal to n+sod(n) for n = 96819699 and 96819708.

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, 11671 + ... + 18161.

It is an arithmetic number, because the mean of its divisors is an integer number (5180616).

Almost surely, 296819756 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 96819756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124334784).

96819756 is an abundant number, since it is smaller than the sum of its proper divisors (151849812).

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

96819756 is a wasteful number, since it uses less digits than its factorization.

96819756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6620 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 96819756 is about 9839.7030442997. The cubic root of 96819756 is about 459.1853191999.

The spelling of 96819756 in words is "ninety-six million, eight hundred nineteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 6491 7458 12982 14916 19473 25964 38946 71401 77892 142802 214203 285604 428406 733483 856812 1466966 2200449 2933932 4400898 8068313 8801796 16136626 24204939 32273252 48409878 96819756