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9102288 = 2431329503
BaseRepresentation
bin100010101110…
…001111010000
3122010102222210
4202232033100
54312233123
6523032120
7140240166
oct42561720
918112883
109102288
115157758
12306b640
131b69090
1412cd236
15bebe93
hex8ae3d0

9102288 has 80 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 2698752.

The previous prime is 9102277. The next prime is 9102307. The reversal of 9102288 is 8822019.

It is a Cunningham number, because it is equal to 30172-1.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17845 + ... + 18347.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 29102288 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 9102288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

9102288 is an abundant number, since it is smaller than the sum of its proper divisors (17146032).

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

9102288 is a wasteful number, since it uses less digits than its factorization.

9102288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 9102288 is about 3016.9998342725. Note that the first 3 decimals coincide. The cubic root of 9102288 is about 208.7934438129.

The spelling of 9102288 in words is "nine million, one hundred two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 503 624 696 754 1006 1131 1392 1508 1509 2012 2262 3016 3018 4024 4524 6032 6036 6539 8048 9048 12072 13078 14587 18096 19617 24144 26156 29174 39234 43761 52312 58348 78468 87522 104624 116696 156936 175044 189631 233392 313872 350088 379262 568893 700176 758524 1137786 1517048 2275572 3034096 4551144 9102288