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96336768 = 2731122807
BaseRepresentation
bin1011011110111…
…11101110000000
320201021102012110
411233133232000
5144130234033
613320455320
72246564133
oct557375600
9221242173
1096336768
114a41a270
122831a540
1316c60308
14cb1a21a
1586ce363
hex5bdfb80

96336768 has 64 divisors (see below), whose sum is σ = 279169920. Its totient is φ = 29191680.

The previous prime is 96336763. The next prime is 96336769. The reversal of 96336768 is 86763369.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96336761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7180 + ... + 15627.

It is an arithmetic number, because the mean of its divisors is an integer number (4362030).

Almost surely, 296336768 is an apocalyptic number.

It is an amenable number.

96336768 is an abundant number, since it is smaller than the sum of its proper divisors (182833152).

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

96336768 is a wasteful number, since it uses less digits than its factorization.

96336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22835 (or 22823 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 96336768 is about 9815.1295457574. The cubic root of 96336768 is about 458.4204931614.

The spelling of 96336768 in words is "ninety-six million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 22807 45614 68421 91228 136842 182456 250877 273684 364912 501754 547368 729824 752631 1003508 1094736 1459648 1505262 2007016 2189472 2919296 3010524 4014032 4378944 6021048 8028064 8757888 12042096 16056128 24084192 32112256 48168384 96336768