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6326928 = 243253829
BaseRepresentation
bin11000001000101010010000
3102220102220200
4120020222100
53104430203
6343335200
7104530566
oct30105220
912812820
106326928
113631573
122151500
131406a5a
14ba9a36
1584e9a3
hex608a90

6326928 has 60 divisors (see below), whose sum is σ = 18062460. Its totient is φ = 2066688.

The previous prime is 6326927. The next prime is 6326933. The reversal of 6326928 is 8296236.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 2214144 = 2028^2 + 1488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 6326892 and 6326901.

It is not an unprimeable number, because it can be changed into a prime (6326923) 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 11 ways as a sum of consecutive naturals, for example, 7218 + ... + 8046.

It is an arithmetic number, because the mean of its divisors is an integer number (301041).

Almost surely, 26326928 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 6326928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031230).

6326928 is an abundant number, since it is smaller than the sum of its proper divisors (11735532).

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

6326928 is a wasteful number, since it uses less digits than its factorization.

6326928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6326928 is about 2515.3385458025. The cubic root of 6326928 is about 184.9542423965.

The spelling of 6326928 in words is "six million, three hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 829 848 954 1272 1658 1908 2487 2544 3316 3816 4974 6632 7461 7632 9948 13264 14922 19896 29844 39792 43937 59688 87874 119376 131811 175748 263622 351496 395433 527244 702992 790866 1054488 1581732 2108976 3163464 6326928