Search a number
-
+
5800192 = 28139163
BaseRepresentation
bin10110001000000100000000
3101220200100221
4112020010000
52441101232
6324152424
7100205116
oct26100400
911820327
105800192
113301852
121b38714
131281088
14aadab6
15798897
hex588100

5800192 has 36 divisors (see below), whose sum is σ = 11732560. Its totient is φ = 2861568.

The previous prime is 5800189. The next prime is 5800237. The reversal of 5800192 is 2910085.

5800192 is nontrivially palindromic in base 15.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35503 + ... + 35665.

Almost surely, 25800192 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 5800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866280).

5800192 is an abundant number, since it is smaller than the sum of its proper divisors (5932368).

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

5800192 is a wasteful number, since it uses less digits than its factorization.

5800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 5800192 is about 2408.3587772589. The cubic root of 5800192 is about 179.6721604599.

The spelling of 5800192 in words is "five million, eight hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 139 163 256 278 326 556 652 1112 1304 2224 2608 4448 5216 8896 10432 17792 20864 22657 35584 41728 45314 90628 181256 362512 725024 1450048 2900096 5800192