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6393088 = 281317113
BaseRepresentation
bin11000011000110100000000
3110000210200001
4120120310000
53114034323
6345005344
7105224512
oct30306400
913023601
106393088
113677249
122183854
13142abc0
14bc5bb2
158643ad
hex618d00

6393088 has 72 divisors (see below), whose sum is σ = 14680008. Its totient is φ = 2752512.

The previous prime is 6393083. The next prime is 6393091. The reversal of 6393088 is 8803936.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 6390784 = 48^2 + 2528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6393083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56520 + ... + 56632.

It is an arithmetic number, because the mean of its divisors is an integer number (203889).

Almost surely, 26393088 is an apocalyptic number.

6393088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340004).

6393088 is an abundant number, since it is smaller than the sum of its proper divisors (8286920).

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

6393088 is a wasteful number, since it uses less digits than its factorization.

6393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 6393088 is about 2528.4556551381. The cubic root of 6393088 is about 185.5966903889.

The spelling of 6393088 in words is "six million, three hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 113 128 136 208 221 226 256 272 416 442 452 544 832 884 904 1088 1469 1664 1768 1808 1921 2176 2938 3328 3536 3616 3842 4352 5876 7072 7232 7684 11752 14144 14464 15368 23504 24973 28288 28928 30736 47008 49946 56576 61472 94016 99892 122944 188032 199784 245888 376064 399568 491776 799136 1598272 3196544 6393088