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8133416 = 2341137181
BaseRepresentation
bin11111000001101100101000
3120022012221122
4133001230220
54040232131
6450154412
7126063404
oct37015450
916265848
108133416
114655835
122882a08
1318ba095
14111a104
15aa9d7b
hex7c1b28

8133416 has 32 divisors (see below), whose sum is σ = 15823080. Its totient is φ = 3916800.

The previous prime is 8133413. The next prime is 8133431. The reversal of 8133416 is 6143318.

8133416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2592100 + 5541316 = 1610^2 + 2354^2 .

It is not an unprimeable number, because it can be changed into a prime (8133413) by changing a digit.

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, 44846 + ... + 45026.

Almost surely, 28133416 is an apocalyptic number.

It is an amenable number.

8133416 is a deficient number, since it is larger than the sum of its proper divisors (7689664).

8133416 is a wasteful number, since it uses less digits than its factorization.

8133416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 8133416 is about 2851.9144447195. The cubic root of 8133416 is about 201.1056761371.

The spelling of 8133416 in words is "eight million, one hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 41 82 137 164 181 274 328 362 548 724 1096 1448 5617 7421 11234 14842 22468 24797 29684 44936 49594 59368 99188 198376 1016677 2033354 4066708 8133416