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6133328 = 241722549
BaseRepresentation
bin10111011001011001010000
3102112121100022
4113121121100
53032231303
6335243012
7103063265
oct27313120
912477308
106133328
11350a073
122079468
1313698b6
14b5926c
15812438
hex5d9650

6133328 has 20 divisors (see below), whose sum is σ = 12582900. Its totient is φ = 2886144.

The previous prime is 6133291. The next prime is 6133331. The reversal of 6133328 is 8233316.

It can be written as a sum of positive squares in 2 ways, for example, as 5626384 + 506944 = 2372^2 + 712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6133297 and 6133306.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11003 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (629145).

Almost surely, 26133328 is an apocalyptic number.

6133328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6133328 is an abundant number, since it is smaller than the sum of its proper divisors (6449572).

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

6133328 is a wasteful number, since it uses less digits than its factorization.

6133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22574 (or 22568 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 6133328 is about 2476.5556727035. Note that the first 3 decimals coincide. The cubic root of 6133328 is about 183.0481722943.

The spelling of 6133328 in words is "six million, one hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 22549 45098 90196 180392 360784 383333 766666 1533332 3066664 6133328