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5759442 = 23213151163
BaseRepresentation
bin10101111110000111010010
3101211121110200
4111332013102
52433300232
6323240030
766645243
oct25760722
911747420
105759442
113284177
121b19016
131268670
14a9ccca
1578b77c
hex57e1d2

5759442 has 48 divisors (see below), whose sum is σ = 13610688. Its totient is φ = 1749600.

The previous prime is 5759441. The next prime is 5759473. The reversal of 5759442 is 2449575.

It is a super-3 number, since 3×57594423 (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 55 + 77 + 57 + 97 + 46 + 48 + 211 .

It is a junction number, because it is equal to n+sod(n) for n = 5759397 and 5759406.

It is not an unprimeable number, because it can be changed into a prime (5759441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35253 + ... + 35415.

It is an arithmetic number, because the mean of its divisors is an integer number (283556).

Almost surely, 25759442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5759442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805344).

5759442 is an abundant number, since it is smaller than the sum of its proper divisors (7851246).

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

5759442 is a wasteful number, since it uses less digits than its factorization.

5759442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 332 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5759442 is about 2399.8837471844. The cubic root of 5759442 is about 179.2504011942.

The spelling of 5759442 in words is "five million, seven hundred fifty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 163 234 302 326 453 489 906 978 1359 1467 1963 2119 2718 2934 3926 4238 5889 6357 11778 12714 17667 19071 24613 35334 38142 49226 73839 147678 221517 319969 443034 639938 959907 1919814 2879721 5759442