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9082890 = 2325432347
BaseRepresentation
bin100010101001…
…100000001010
3122002110101100
4202221200022
54311123030
6522402230
7140126505
oct42514012
918073340
109082890
115144123
123060376
131b602bb
1412c613c
15be6360
hex8a980a

9082890 has 48 divisors (see below), whose sum is σ = 24175008. Its totient is φ = 2364768.

The previous prime is 9082889. The next prime is 9082901. The reversal of 9082890 is 982809.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2697 + ... + 5043.

It is an arithmetic number, because the mean of its divisors is an integer number (503646).

Almost surely, 29082890 is an apocalyptic number.

9082890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9082890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087504).

9082890 is an abundant number, since it is smaller than the sum of its proper divisors (15092118).

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

9082890 is a wasteful number, since it uses less digits than its factorization.

9082890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9082890 is about 3013.7833366053. The cubic root of 9082890 is about 208.6450175505.

The spelling of 9082890 in words is "nine million, eighty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 2347 3870 4694 7041 11735 14082 21123 23470 35205 42246 70410 100921 105615 201842 211230 302763 504605 605526 908289 1009210 1513815 1816578 3027630 4541445 9082890