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93296 = 247317
BaseRepresentation
bin10110110001110000
311201222102
4112301300
510441141
61555532
7536000
oct266160
9151872
1093296
1164105
1245ba8
1333608
1426000
151c99b
hex16c70

93296 has 40 divisors (see below), whose sum is σ = 223200. Its totient is φ = 37632.

The previous prime is 93287. The next prime is 93307. The reversal of 93296 is 69239.

It is a congruent number.

It is an unprimeable number.

93296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5480 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

293296 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 93296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

93296 is an abundant number, since it is smaller than the sum of its proper divisors (129904).

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

93296 is a wasteful number, since it uses less digits than its factorization.

93296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 26 counting only the distinct ones).

The product of its digits is 2916, while the sum is 29.

The square root of 93296 is about 305.4439392098. The cubic root of 93296 is about 45.3545652179.

The spelling of 93296 in words is "ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 343 392 476 686 784 833 952 1372 1666 1904 2744 3332 5488 5831 6664 11662 13328 23324 46648 93296