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9428224 = 28132833
BaseRepresentation
bin100011111101…
…110100000000
3122202000002111
4203331310000
54403200344
6534025104
7143065351
oct43756400
918660074
109428224
11535a623
1231a8194
131c51540
141375d28
15c63834
hex8fdd00

9428224 has 36 divisors (see below), whose sum is σ = 20274436. Its totient is φ = 4349952.

The previous prime is 9428213. The next prime is 9428227. The reversal of 9428224 is 4228249.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 6969600 = 1568^2 + 2640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9428227) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1912 + ... + 4744.

Almost surely, 29428224 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 9428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137218).

9428224 is an abundant number, since it is smaller than the sum of its proper divisors (10846212).

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

9428224 is a wasteful number, since it uses less digits than its factorization.

9428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2848 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 9428224 is about 3070.5413203538. The cubic root of 9428224 is about 211.2564434387.

It can be divided in two parts, 94 and 28224, that multiplied together give a triangular number (2653056 = T2303).

The spelling of 9428224 in words is "nine million, four hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2833 3328 5666 11332 22664 36829 45328 73658 90656 147316 181312 294632 362624 589264 725248 1178528 2357056 4714112 9428224