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9328896 = 28324049
BaseRepresentation
bin100011100101…
…100100000000
3122112221211200
4203211210000
54342011041
6531541200
7142202643
oct43454400
918487750
109328896
1152a1a35
12315a800
131c18275
14134ba5a
15c441b6
hex8e5900

9328896 has 54 divisors (see below), whose sum is σ = 26904150. Its totient is φ = 3108864.

The previous prime is 9328883. The next prime is 9328967. The reversal of 9328896 is 6988239.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 2359296 = 2640^2 + 1536^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280 + ... + 4328.

It is an arithmetic number, because the mean of its divisors is an integer number (498225).

Almost surely, 29328896 is an apocalyptic number.

9328896 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 9328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452075).

9328896 is an abundant number, since it is smaller than the sum of its proper divisors (17575254).

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

9328896 is a wasteful number, since it uses less digits than its factorization.

9328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4054 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9328896 is about 3054.3241478271. The cubic root of 9328896 is about 210.5119482125.

The spelling of 9328896 in words is "nine million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4049 8098 12147 16196 24294 32392 36441 48588 64784 72882 97176 129568 145764 194352 259136 291528 388704 518272 583056 777408 1036544 1166112 1554816 2332224 3109632 4664448 9328896