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5883328 = 261161137
BaseRepresentation
bin10110011100010111000000
3102001220102001
4112130113000
53001231303
6330033344
7101002363
oct26342700
912056361
105883328
113359260
121b78854
1312acb79
14ad20da
157b331d
hex59c5c0

5883328 has 56 divisors (see below), whose sum is σ = 13039344. Its totient is φ = 2611200.

The previous prime is 5883323. The next prime is 5883347. The reversal of 5883328 is 8233885.

It is a happy number.

It is a super-2 number, since 2×58833282 = 69227096711168, which contains 22 as substring.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5883323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42876 + ... + 43012.

Almost surely, 25883328 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 5883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519672).

5883328 is an abundant number, since it is smaller than the sum of its proper divisors (7156016).

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

5883328 is a wasteful number, since it uses less digits than its factorization.

5883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 5883328 is about 2425.5572555600. The cubic root of 5883328 is about 180.5265241879.

It can be divided in two parts, 588 and 3328, that added together give a triangular number (3916 = T88).

The spelling of 5883328 in words is "five million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 137 176 244 274 352 488 548 671 704 976 1096 1342 1507 1952 2192 2684 3014 3904 4384 5368 6028 8357 8768 10736 12056 16714 21472 24112 33428 42944 48224 66856 91927 96448 133712 183854 267424 367708 534848 735416 1470832 2941664 5883328