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8230248 = 233413977
BaseRepresentation
bin11111011001010101101000
3120111010210000
4133121111220
54101331443
6452223000
7126645615
oct37312550
916433700
108230248
114711564
12290aa60
131922190
14114350c
15ac88d3
hex7d9568

8230248 has 80 divisors (see below), whose sum is σ = 24850980. Its totient is φ = 2529792.

The previous prime is 8230223. The next prime is 8230253. The reversal of 8230248 is 8420328.

It can be written as a sum of positive squares in 2 ways, for example, as 8191044 + 39204 = 2862^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7936 + ... + 8912.

Almost surely, 28230248 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 8230248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425490).

8230248 is an abundant number, since it is smaller than the sum of its proper divisors (16620732).

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

8230248 is a wasteful number, since it uses less digits than its factorization.

8230248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

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

The square root of 8230248 is about 2868.8408809134. The cubic root of 8230248 is about 201.9006144432.

The spelling of 8230248 in words is "eight million, two hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 977 1053 1404 1954 2106 2808 2931 3908 4212 5862 7816 8424 8793 11724 12701 17586 23448 25402 26379 35172 38103 50804 52758 70344 76206 79137 101608 105516 114309 152412 158274 211032 228618 304824 316548 342927 457236 633096 685854 914472 1028781 1371708 2057562 2743416 4115124 8230248