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99696256 = 2711241157
BaseRepresentation
bin1011111000100…
…11111010000000
320221121002112221
411330103322000
5201010240011
613520500424
72320255432
oct574237200
9227532487
1099696256
1151304300
122947a714
131786848a
14d352652
158b44971
hex5f13e80

99696256 has 96 divisors (see below), whose sum is σ = 225059940. Its totient is φ = 43929600.

The previous prime is 99696251. The next prime is 99696277. The reversal of 99696256 is 65269699.

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 14318656 = 9240^2 + 3784^2 .

It is not an unprimeable number, because it can be changed into a prime (99696251) by changing a digit.

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, 634930 + ... + 635086.

Almost surely, 299696256 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 99696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112529970).

99696256 is an abundant number, since it is smaller than the sum of its proper divisors (125363684).

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

99696256 is a wasteful number, since it uses less digits than its factorization.

99696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 52.

The square root of 99696256 is about 9984.8012498998. The cubic root of 99696256 is about 463.6884551539.

The spelling of 99696256 in words is "ninety-nine million, six hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 157 164 176 242 314 328 352 451 484 628 656 704 902 968 1256 1312 1408 1727 1804 1936 2512 2624 3454 3608 3872 4961 5024 5248 6437 6908 7216 7744 9922 10048 12874 13816 14432 15488 18997 19844 20096 25748 27632 28864 37994 39688 51496 55264 57728 70807 75988 79376 102992 110528 141614 151976 158752 205984 221056 283228 303952 317504 411968 566456 607904 635008 778877 823936 1132912 1215808 1557754 2265824 2431616 3115508 4531648 6231016 9063296 12462032 24924064 49848128 99696256