Search a number
-
+
5804832 = 2531123239
BaseRepresentation
bin10110001001001100100000
3101220220201210
4112021030200
52441223312
6324230120
7100224465
oct26111440
911826653
105804832
113305290
121b3b340
131283217
14ab166c
15799e3c
hex589320

5804832 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1675520.

The previous prime is 5804831. The next prime is 5804849. The reversal of 5804832 is 2384085.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 56 + 82 + 0 + 4 + 83 + 313 + 222 .

It is a self number, because there is not a number n which added to its sum of digits gives 5804832.

It is not an unprimeable number, because it can be changed into a prime (5804831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24169 + ... + 24407.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 25804832 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 5804832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5804832 is an abundant number, since it is smaller than the sum of its proper divisors (11613408).

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

5804832 is a wasteful number, since it uses less digits than its factorization.

5804832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5804832 is about 2409.3218963019. The cubic root of 5804832 is about 179.7200586798.

The spelling of 5804832 in words is "five million, eight hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 239 253 264 276 352 368 478 506 528 552 717 736 759 956 1012 1056 1104 1434 1518 1912 2024 2208 2629 2868 3036 3824 4048 5258 5497 5736 6072 7648 7887 8096 10516 10994 11472 12144 15774 16491 21032 21988 22944 24288 31548 32982 42064 43976 60467 63096 65964 84128 87952 120934 126192 131928 175904 181401 241868 252384 263856 362802 483736 527712 725604 967472 1451208 1934944 2902416 5804832