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8230608 = 243261937
BaseRepresentation
bin11111011001011011010000
3120111011021100
4133121123100
54101334413
6452224400
7126646641
oct37313320
916434240
108230608
114711861
12290b100
1319223a9
1411436c8
15ac8a73
hex7d96d0

8230608 has 60 divisors (see below), whose sum is σ = 23436868. Its totient is φ = 2695680.

The previous prime is 8230603. The next prime is 8230609. The reversal of 8230608 is 8060328.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 7884864 = 588^2 + 2808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230603) 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, 8316 + ... + 9252.

Almost surely, 28230608 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 8230608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718434).

8230608 is an abundant number, since it is smaller than the sum of its proper divisors (15206260).

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

8230608 is a wasteful number, since it uses less digits than its factorization.

8230608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8230608 is about 2868.9036233377. The cubic root of 8230608 is about 201.9035581845.

The spelling of 8230608 in words is "eight million, two hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 937 976 1098 1464 1874 2196 2811 2928 3748 4392 5622 7496 8433 8784 11244 14992 16866 22488 33732 44976 57157 67464 114314 134928 171471 228628 342942 457256 514413 685884 914512 1028826 1371768 2057652 2743536 4115304 8230608