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9085896 = 2332532381
BaseRepresentation
bin100010101010…
…001111001000
3122002121111200
4202222033020
54311222041
6522424200
7140141331
oct42521710
918077450
109085896
115146406
123062060
131b61791
1412c7288
15be71b6
hex8aa3c8

9085896 has 48 divisors (see below), whose sum is σ = 25082460. Its totient is φ = 2970240.

The previous prime is 9085891. The next prime is 9085919. The reversal of 9085896 is 6985809.

It can be written as a sum of positive squares in 2 ways, for example, as 8468100 + 617796 = 2910^2 + 786^2 .

It is a super-2 number, since 2×90858962 = 165107012245632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9085891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2626 + ... + 5006.

Almost surely, 29085896 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 9085896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541230).

9085896 is an abundant number, since it is smaller than the sum of its proper divisors (15996564).

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

9085896 is a wasteful number, since it uses less digits than its factorization.

9085896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9085896 is about 3014.2820040600. The cubic root of 9085896 is about 208.6680321690.

The spelling of 9085896 in words is "nine million, eighty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2381 3816 4762 7143 9524 14286 19048 21429 28572 42858 57144 85716 126193 171432 252386 378579 504772 757158 1009544 1135737 1514316 2271474 3028632 4542948 9085896