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5766128 = 241722943
BaseRepresentation
bin10101111111101111110000
3101211221122022
4111333233300
52434004003
6323331012
7100003604
oct25775760
911757568
105766128
1132891a5
121b20a68
13126b714
14aa1504
1578d738
hex57fbf0

5766128 has 60 divisors (see below), whose sum is σ = 12562440. Its totient is φ = 2558976.

The previous prime is 5766121. The next prime is 5766133. The reversal of 5766128 is 8216675.

It is a super-2 number, since 2×57661282 = 66496464224768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134075 + ... + 134117.

It is an arithmetic number, because the mean of its divisors is an integer number (209374).

Almost surely, 25766128 is an apocalyptic number.

5766128 is a gapful number since it is divisible by the number (58) 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 5766128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281220).

5766128 is an abundant number, since it is smaller than the sum of its proper divisors (6796312).

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

5766128 is a wasteful number, since it uses less digits than its factorization.

5766128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 5766128 is about 2401.2763272893. The cubic root of 5766128 is about 179.3197368882.

The spelling of 5766128 in words is "five million, seven hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 34 43 58 68 86 116 136 172 232 272 289 344 464 493 578 688 731 986 1156 1247 1462 1972 2312 2494 2924 3944 4624 4988 5848 7888 8381 9976 11696 12427 16762 19952 21199 24854 33524 42398 49708 67048 84796 99416 134096 169592 198832 339184 360383 720766 1441532 2883064 5766128