Search a number
-
+
5804352 = 26333359
BaseRepresentation
bin10110001001000101000000
3101220220002000
4112021011000
52441214402
6324224000
7100223211
oct26110500
911826060
105804352
113304994
121b3b000
131282c38
14ab1408
15799c1c
hex589140

5804352 has 56 divisors (see below), whose sum is σ = 17068800. Its totient is φ = 1934208.

The previous prime is 5804341. The next prime is 5804353. The reversal of 5804352 is 2534085.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5804353) 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, 49 + ... + 3407.

It is an arithmetic number, because the mean of its divisors is an integer number (304800).

Almost surely, 25804352 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 5804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534400).

5804352 is an abundant number, since it is smaller than the sum of its proper divisors (11264448).

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

5804352 is a wasteful number, since it uses less digits than its factorization.

5804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5804352 is about 2409.2222811522. Note that the first 4 decimals coincide. The cubic root of 5804352 is about 179.7151048755.

It can be divided in two parts, 5 and 804352, that added together give a cube (804357 = 933).

The spelling of 5804352 in words is "five million, eight hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3359 6718 10077 13436 20154 26872 30231 40308 53744 60462 80616 90693 107488 120924 161232 181386 214976 241848 322464 362772 483696 644928 725544 967392 1451088 1934784 2902176 5804352