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8130248 = 237473089
BaseRepresentation
bin11111000000111011001000
3120022001121022
4133000323020
54040131443
6450132012
7126051230
oct37007310
916261538
108130248
114653415
122881008
1318b87c9
141118cc0
15aa8e68
hex7c0ec8

8130248 has 32 divisors (see below), whose sum is σ = 17798400. Its totient is φ = 3409152.

The previous prime is 8130193. The next prime is 8130251. The reversal of 8130248 is 8420318.

It is a super-2 number, since 2×81302482 = 132201865083008, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1088 + ... + 4176.

It is an arithmetic number, because the mean of its divisors is an integer number (556200).

Almost surely, 28130248 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 8130248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899200).

8130248 is an abundant number, since it is smaller than the sum of its proper divisors (9668152).

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

8130248 is a wasteful number, since it uses less digits than its factorization.

8130248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8130248 is about 2851.3589742437. The cubic root of 8130248 is about 201.0795622420.

The spelling of 8130248 in words is "eight million, one hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 3089 6178 12356 21623 24712 43246 86492 145183 172984 290366 580732 1016281 1161464 2032562 4065124 8130248