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93328 = 2419307
BaseRepresentation
bin10110110010010000
311202000121
4112302100
510441303
62000024
7536044
oct266220
9152017
1093328
1164134
1246014
1333631
1426024
151c9bd
hex16c90

93328 has 20 divisors (see below), whose sum is σ = 190960. Its totient is φ = 44064.

The previous prime is 93323. The next prime is 93329. The reversal of 93328 is 82339.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (93323) by changing a digit.

93328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

293328 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 93328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95480).

93328 is an abundant number, since it is smaller than the sum of its proper divisors (97632).

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

93328 is a wasteful number, since it uses less digits than its factorization.

93328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 93328 is about 305.4963174901. The cubic root of 93328 is about 45.3597500782.

It can be divided in two parts, 933 and 28, that added together give a square (961 = 312).

The spelling of 93328 in words is "ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 307 614 1228 2456 4912 5833 11666 23332 46664 93328