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93088296 = 23327199721
BaseRepresentation
bin1011000110001…
…10101000101000
320111011101010200
411203012220220
5142312311141
613123112200
72210144310
oct543065050
9214141120
1093088296
1148600684
1227212660
1316393842
14c512440
15828bab6
hex58c6a28

93088296 has 96 divisors (see below), whose sum is σ = 303326400. Its totient is φ = 25194240.

The previous prime is 93088279. The next prime is 93088297. The reversal of 93088296 is 69288039.

93088296 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (93088297) 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 23 ways as a sum of consecutive naturals, for example, 4716 + ... + 14436.

It is an arithmetic number, because the mean of its divisors is an integer number (3159650).

Almost surely, 293088296 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 93088296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151663200).

93088296 is an abundant number, since it is smaller than the sum of its proper divisors (210238104).

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

93088296 is a wasteful number, since it uses less digits than its factorization.

93088296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 93088296 is about 9648.2276092555. The cubic root of 93088296 is about 453.2088273037.

The spelling of 93088296 in words is "ninety-three million, eighty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 9721 19442 29163 38884 58326 68047 77768 87489 116652 136094 174978 184699 204141 233304 272188 349956 369398 408282 544376 554097 612423 699912 738796 816564 1108194 1224846 1292893 1477592 1633128 1662291 2216388 2449692 2585786 3324582 3878679 4432776 4899384 5171572 6649164 7757358 10343144 11636037 13298328 15514716 23272074 31029432 46544148 93088296