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96855296 = 28397953
BaseRepresentation
bin1011100010111…
…10010100000000
320202020202111012
411301132110000
5144243332141
613335540052
72254153646
oct561362400
9222222435
1096855296
114a7438aa
122852a628
13170b2335
14cc13196
158782ceb
hex5c5e500

96855296 has 36 divisors (see below), whose sum is σ = 194022612. Its totient is φ = 48254976.

The previous prime is 96855287. The next prime is 96855299. The reversal of 96855296 is 69255869.

It can be written as a sum of positive squares in 2 ways, for example, as 52765696 + 44089600 = 7264^2 + 6640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96855299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101156 + ... + 102108.

It is an arithmetic number, because the mean of its divisors is an integer number (5389517).

Almost surely, 296855296 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 96855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97011306).

96855296 is an abundant number, since it is smaller than the sum of its proper divisors (97167316).

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

96855296 is an equidigital number, since it uses as much as digits as its factorization.

96855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 96855296 is about 9841.5088274106. The cubic root of 96855296 is about 459.2414973000.

The spelling of 96855296 in words is "ninety-six million, eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 397 794 953 1588 1906 3176 3812 6352 7624 12704 15248 25408 30496 50816 60992 101632 121984 243968 378341 756682 1513364 3026728 6053456 12106912 24213824 48427648 96855296