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8083224 = 2332131857
BaseRepresentation
bin11110110101011100011000
3120012200002200
4132311130120
54032130344
6445130200
7125464152
oct36653430
916180080
108083224
114621056
122859960
1318a0296
141105ad2
15a9a069
hex7b5718

8083224 has 48 divisors (see below), whose sum is σ = 22084920. Its totient is φ = 2670720.

The previous prime is 8083223. The next prime is 8083253. The reversal of 8083224 is 4223808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9004 + ... + 9860.

Almost surely, 28083224 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 8083224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042460).

8083224 is an abundant number, since it is smaller than the sum of its proper divisors (14001696).

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

8083224 is a wasteful number, since it uses less digits than its factorization.

8083224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8083224 is about 2843.1011237731. The cubic root of 8083224 is about 200.6911421945.

The spelling of 8083224 in words is "eight million, eighty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 857 1048 1179 1572 1714 2358 2571 3144 3428 4716 5142 6856 7713 9432 10284 15426 20568 30852 61704 112267 224534 336801 449068 673602 898136 1010403 1347204 2020806 2694408 4041612 8083224