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96304608 = 25321272633
BaseRepresentation
bin1011011110101…
…11110111100000
320201012210002100
411233113313200
5144123221413
613320050400
72246401311
oct557276740
9221183070
1096304608
114a3a8094
1228303a00
1316c4b79a
14cb0c608
1586c4a73
hex5bd7de0

96304608 has 72 divisors (see below), whose sum is σ = 276127488. Its totient is φ = 31836672.

The previous prime is 96304603. The next prime is 96304619. The reversal of 96304608 is 80640369.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96304603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35260 + ... + 37892.

It is an arithmetic number, because the mean of its divisors is an integer number (3835104).

Almost surely, 296304608 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 96304608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138063744).

96304608 is an abundant number, since it is smaller than the sum of its proper divisors (179822880).

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

96304608 is a wasteful number, since it uses less digits than its factorization.

96304608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96304608 is about 9813.4911219199. The cubic root of 96304608 is about 458.3694761434.

It can be divided in two parts, 96 and 304608, that added together give a square (304704 = 5522).

The spelling of 96304608 in words is "ninety-six million, three hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 2633 3048 4064 4572 5266 6096 7899 9144 10532 12192 15798 18288 21064 23697 31596 36576 42128 47394 63192 84256 94788 126384 189576 252768 334391 379152 668782 758304 1003173 1337564 2006346 2675128 3009519 4012692 5350256 6019038 8025384 10700512 12038076 16050768 24076152 32101536 48152304 96304608