Search a number
-
+
5835808 = 251159281
BaseRepresentation
bin10110010000110000100000
3101222111020001
4112100300200
52443221213
6325025344
7100414006
oct26206040
911874201
105835808
113326590
121b55254
131294354
14abca76
157a41dd
hex590c20

5835808 has 48 divisors (see below), whose sum is σ = 12791520. Its totient is φ = 2598400.

The previous prime is 5835803. The next prime is 5835821. The reversal of 5835808 is 8085385.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5835803) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20628 + ... + 20908.

It is an arithmetic number, because the mean of its divisors is an integer number (266490).

Almost surely, 25835808 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 5835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395760).

5835808 is an abundant number, since it is smaller than the sum of its proper divisors (6955712).

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

5835808 is a wasteful number, since it uses less digits than its factorization.

5835808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 5835808 is about 2415.7417080474. The cubic root of 5835808 is about 180.0391684310.

The spelling of 5835808 in words is "five million, eight hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 281 352 472 562 649 944 1124 1298 1888 2248 2596 3091 4496 5192 6182 8992 10384 12364 16579 20768 24728 33158 49456 66316 98912 132632 182369 265264 364738 530528 729476 1458952 2917904 5835808