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96794496 = 2732731151
BaseRepresentation
bin1011100010011…
…11011110000000
320202010200002100
411301033132000
5144234410441
613334350400
72253511461
oct561173600
9222120070
1096794496
114a702157
12284bb400
1317090766
14cbd8d68
15876ecb6
hex5c4f780

96794496 has 96 divisors (see below), whose sum is σ = 282597120. Its totient is φ = 31795200.

The previous prime is 96794471. The next prime is 96794519. The reversal of 96794496 is 69449769.

96794496 is a `hidden beast` number, since 9 + 67 + 94 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 83521 + ... + 84671.

It is an arithmetic number, because the mean of its divisors is an integer number (2943720).

Almost surely, 296794496 is an apocalyptic number.

96794496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96794496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

96794496 is an abundant number, since it is smaller than the sum of its proper divisors (185802624).

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

96794496 is a wasteful number, since it uses less digits than its factorization.

96794496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1229 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 96794496 is about 9838.4193852468. The cubic root of 96794496 is about 459.1453823436.

The spelling of 96794496 in words is "ninety-six million, seven hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1151 1152 1168 1314 1752 2302 2336 2628 3453 3504 4604 4672 5256 6906 7008 9208 9344 10359 10512 13812 14016 18416 20718 21024 27624 28032 36832 41436 42048 55248 73664 82872 84023 84096 110496 147328 165744 168046 220992 252069 331488 336092 441984 504138 662976 672184 756207 1008276 1325952 1344368 1512414 2016552 2688736 3024828 4033104 5377472 6049656 8066208 10754944 12099312 16132416 24198624 32264832 48397248 96794496