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96833152 = 271358193
BaseRepresentation
bin1011100010110…
…00111010000000
320202012122010001
411301120322000
5144242130102
613335245344
72254032253
oct561307200
9222178101
1096833152
114a7291a9
1228519854
13170a5230
14cc0909a
15877b487
hex5c58e80

96833152 has 32 divisors (see below), whose sum is σ = 207752580. Its totient is φ = 44691456.

The previous prime is 96833147. The next prime is 96833153. The reversal of 96833152 is 25133869.

It can be written as a sum of positive squares in 2 ways, for example, as 93238336 + 3594816 = 9656^2 + 1896^2 .

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

It is a super-3 number, since 3×968331523 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96833153) 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, 27433 + ... + 30760.

Almost surely, 296833152 is an apocalyptic number.

It is an amenable number.

96833152 is an abundant number, since it is smaller than the sum of its proper divisors (110919428).

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

96833152 is a wasteful number, since it uses less digits than its factorization.

96833152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58220 (or 58208 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 96833152 is about 9840.3837323552. The cubic root of 96833152 is about 459.2064958795.

The spelling of 96833152 in words is "ninety-six million, eight hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 58193 116386 232772 465544 756509 931088 1513018 1862176 3026036 3724352 6052072 7448704 12104144 24208288 48416576 96833152