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9093216 = 2531179109
BaseRepresentation
bin100010101100…
…000001100000
3122002222112210
4202230001200
54311440331
6522522120
7140201556
oct42540140
918088483
109093216
115150960
123066340
131b64c02
1412c9bd6
15be9446
hex8ac060

9093216 has 96 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 2695680.

The previous prime is 9093197. The next prime is 9093239. The reversal of 9093216 is 6123909.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 83370 + ... + 83478.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 29093216 is an apocalyptic number.

9093216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9093216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

9093216 is an abundant number, since it is smaller than the sum of its proper divisors (17517984).

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

9093216 is a wasteful number, since it uses less digits than its factorization.

9093216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9093216 is about 3015.4959791053. The cubic root of 9093216 is about 208.7240545281.

The spelling of 9093216 in words is "nine million, ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 109 132 158 176 218 237 264 316 327 352 436 474 528 632 654 869 872 948 1056 1199 1264 1308 1738 1744 1896 2398 2528 2607 2616 3476 3488 3597 3792 4796 5214 5232 6952 7194 7584 8611 9592 10428 10464 13904 14388 17222 19184 20856 25833 27808 28776 34444 38368 41712 51666 57552 68888 83424 94721 103332 115104 137776 189442 206664 275552 284163 378884 413328 568326 757768 826656 1136652 1515536 2273304 3031072 4546608 9093216