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6028288 = 2107292
BaseRepresentation
bin10110111111110000000000
3102100021020221
4112333300000
53020401123
6333112424
7102145120
oct26776000
912307227
106028288
113448162
122028714
131330b46
14b2cc80
157e125d
hex5bfc00

6028288 has 66 divisors (see below), whose sum is σ = 14263496. Its totient is φ = 2494464.

The previous prime is 6028283. The next prime is 6028289. The reversal of 6028288 is 8828206.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6028283) 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 5 ways as a sum of consecutive naturals, for example, 207858 + ... + 207886.

Almost surely, 26028288 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 6028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131748).

6028288 is an abundant number, since it is smaller than the sum of its proper divisors (8235208).

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

6028288 is an equidigital number, since it uses as much as digits as its factorization.

6028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 6028288 is about 2455.2572166679. The cubic root of 6028288 is about 181.9971822613.

The spelling of 6028288 in words is "six million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 841 896 928 1024 1624 1682 1792 1856 3248 3364 3584 3712 5887 6496 6728 7168 7424 11774 12992 13456 14848 23548 25984 26912 29696 47096 51968 53824 94192 103936 107648 188384 207872 215296 376768 430592 753536 861184 1507072 3014144 6028288