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5879088 = 243331439
BaseRepresentation
bin10110011011010100110000
3102001200121000
4112123110300
53001112323
6330002000
7100654125
oct26332460
912050530
105879088
113356056
121b76300
1312aac67
14ad074c
157b1e43
hex59b530

5879088 has 80 divisors (see below), whose sum is σ = 17459200. Its totient is φ = 1892160.

The previous prime is 5879087. The next prime is 5879123. The reversal of 5879088 is 8809785.

It is a super-3 number, since 3×58790883 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5879087) 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 15 ways as a sum of consecutive naturals, for example, 13173 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (218240).

Almost surely, 25879088 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 5879088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729600).

5879088 is an abundant number, since it is smaller than the sum of its proper divisors (11580112).

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

5879088 is a wasteful number, since it uses less digits than its factorization.

5879088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 5879088 is about 2424.6830720735. The cubic root of 5879088 is about 180.4831464481.

The spelling of 5879088 in words is "five million, eight hundred seventy-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 439 496 558 744 837 878 1116 1317 1488 1674 1756 2232 2634 3348 3512 3951 4464 5268 6696 7024 7902 10536 11853 13392 13609 15804 21072 23706 27218 31608 40827 47412 54436 63216 81654 94824 108872 122481 163308 189648 217744 244962 326616 367443 489924 653232 734886 979848 1469772 1959696 2939544 5879088