Search a number
-
+
5839872 = 21031901
BaseRepresentation
bin10110010001110000000000
3101222200210120
4112101300000
52443333442
6325100240
7100431603
oct26216000
911880716
105839872
113329645
121b57680
13129615c
14ac033a
157a54ec
hex591c00

5839872 has 44 divisors (see below), whose sum is σ = 15573576. Its totient is φ = 1945600.

The previous prime is 5839843. The next prime is 5839901. The reversal of 5839872 is 2789385.

5839872 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (5839843) and next prime (5839901).

It is a d-powerful number, because it can be written as 5 + 84 + 314 + 92 + 84 + 72 + 220 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2122 + ... + 4022.

Almost surely, 25839872 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 5839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786788).

5839872 is an abundant number, since it is smaller than the sum of its proper divisors (9733704).

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

5839872 is a wasteful number, since it uses less digits than its factorization.

5839872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1906 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 5839872 is about 2416.5827111854. The cubic root of 5839872 is about 180.0809512427.

The spelling of 5839872 in words is "five million, eight hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1901 3072 3802 5703 7604 11406 15208 22812 30416 45624 60832 91248 121664 182496 243328 364992 486656 729984 973312 1459968 1946624 2919936 5839872