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9082368 = 293573
BaseRepresentation
bin100010101001…
…011000000000
3122002102200000
4202221120000
54311113433
6522400000
7140125131
oct42513000
918072600
109082368
115143799
123060000
131b5cca9
1412c5c88
15be6113
hex8a9600

9082368 has 120 divisors (see below), whose sum is σ = 27555528. Its totient is φ = 2985984.

The previous prime is 9082363. The next prime is 9082379. The reversal of 9082368 is 8632809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9082363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 124380 + ... + 124452.

Almost surely, 29082368 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 9082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777764).

9082368 is an abundant number, since it is smaller than the sum of its proper divisors (18473160).

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

9082368 is an frugal number, since it uses more digits than its factorization.

9082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9082368 is about 3013.6967332497. The cubic root of 9082368 is about 208.6410204825.

The spelling of 9082368 in words is "nine million, eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 243 256 288 292 324 384 432 438 486 512 576 584 648 657 768 864 876 972 1152 1168 1296 1314 1536 1728 1752 1944 1971 2304 2336 2592 2628 3456 3504 3888 3942 4608 4672 5184 5256 5913 6912 7008 7776 7884 9344 10368 10512 11826 13824 14016 15552 15768 17739 18688 20736 21024 23652 28032 31104 31536 35478 37376 41472 42048 47304 56064 62208 63072 70956 84096 94608 112128 124416 126144 141912 168192 189216 252288 283824 336384 378432 504576 567648 756864 1009152 1135296 1513728 2270592 3027456 4541184 9082368