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96202296 = 23332571733
BaseRepresentation
bin1011011101111…
…10111000111000
320201000120202000
411232332320320
5144111433141
613313541000
72245464111
oct556767070
9221016660
1096202296
114a338233
1228274760
1316c14048
14cac3208
1586a45b6
hex5bbee38

96202296 has 64 divisors (see below), whose sum is σ = 268423200. Its totient is φ = 31924224.

The previous prime is 96202283. The next prime is 96202313. The reversal of 96202296 is 69220269.

96202296 is a `hidden beast` number, since 9 + 620 + 2 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 96202296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54646 + ... + 56378.

Almost surely, 296202296 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 96202296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134211600).

96202296 is an abundant number, since it is smaller than the sum of its proper divisors (172220904).

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

96202296 is a wasteful number, since it uses less digits than its factorization.

96202296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96202296 is about 9808.2769128935. The cubic root of 96202296 is about 458.2070979146.

The spelling of 96202296 in words is "ninety-six million, two hundred two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 1733 2056 2313 3084 3466 4626 5199 6168 6932 6939 9252 10398 13864 13878 15597 18504 20796 27756 31194 41592 46791 55512 62388 93582 124776 187164 374328 445381 890762 1336143 1781524 2672286 3563048 4008429 5344572 8016858 10689144 12025287 16033716 24050574 32067432 48101148 96202296