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8924112 = 2432292137
BaseRepresentation
bin100010000010…
…101111010000
3121210101120200
4202002233100
54241032422
6515135200
7135565551
oct42025720
917711520
108924112
1150458aa
122ba4500
131b05c52
141284328
15bb42ac
hex882bd0

8924112 has 60 divisors (see below), whose sum is σ = 25848420. Its totient is φ = 2870784.

The previous prime is 8924089. The next prime is 8924131. The reversal of 8924112 is 2114298.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 6780816 = 1464^2 + 2604^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3108 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (430807).

Almost surely, 28924112 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 8924112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924210).

8924112 is an abundant number, since it is smaller than the sum of its proper divisors (16924308).

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

8924112 is a wasteful number, since it uses less digits than its factorization.

8924112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8924112 is about 2987.3252250132. The cubic root of 8924112 is about 207.4220891031.

It can be divided in two parts, 89241 and 12, that added together give a triangular number (89253 = T422).

The spelling of 8924112 in words is "eight million, nine hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2137 4176 4274 6411 8548 12822 17096 19233 25644 34192 38466 51288 61973 76932 102576 123946 153864 185919 247892 307728 371838 495784 557757 743676 991568 1115514 1487352 2231028 2974704 4462056 8924112