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96112256 = 27977741
BaseRepresentation
bin1011011101010…
…00111010000000
320200212000020012
411232220322000
5144101043011
613312004052
72244640442
oct556507200
9220760205
1096112256
114a286619
1228230628
1316bb2076
14ca9c492
158687a8b
hex5ba8e80

96112256 has 32 divisors (see below), whose sum is σ = 193472580. Its totient is φ = 47554560.

The previous prime is 96112253. The next prime is 96112259. The reversal of 96112256 is 65221169.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96112253) and next prime (96112259).

It can be written as a sum of positive squares in 2 ways, for example, as 92929600 + 3182656 = 9640^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (96112253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8546 + ... + 16286.

Almost surely, 296112256 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 96112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96736290).

96112256 is an abundant number, since it is smaller than the sum of its proper divisors (97360324).

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

96112256 is an equidigital number, since it uses as much as digits as its factorization.

96112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7840 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 96112256 is about 9803.6858374797. The cubic root of 96112256 is about 458.0641011709.

The spelling of 96112256 in words is "ninety-six million, one hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 7741 12416 15482 30964 61928 123856 247712 495424 750877 990848 1501754 3003508 6007016 12014032 24028064 48056128 96112256