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9028296 = 2332373389
BaseRepresentation
bin100010011100…
…001011001000
3121222200111100
4202130023020
54302401141
6521301400
7136511364
oct42341310
917880440
109028296
115107102
123034860
131b414b4
1412b02a4
15bd50b6
hex89c2c8

9028296 has 48 divisors (see below), whose sum is σ = 25119900. Its totient is φ = 2927232.

The previous prime is 9028291. The next prime is 9028297. The reversal of 9028296 is 6928209.

9028296 = T680 + T681 + ... + T716.

It can be written as a sum of positive squares in 2 ways, for example, as 6687396 + 2340900 = 2586^2 + 1530^2 .

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 9028296.

It is not an unprimeable number, because it can be changed into a prime (9028291) 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, 970 + ... + 4358.

Almost surely, 29028296 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 9028296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559950).

9028296 is an abundant number, since it is smaller than the sum of its proper divisors (16091604).

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

9028296 is a wasteful number, since it uses less digits than its factorization.

9028296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9028296 is about 3004.7122990396. The cubic root of 9028296 is about 208.2261470316.

The spelling of 9028296 in words is "nine million, twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 3389 6778 10167 13556 20334 27112 30501 40668 61002 81336 122004 125393 244008 250786 376179 501572 752358 1003144 1128537 1504716 2257074 3009432 4514148 9028296