Search a number
-
+
5764928 = 2613341
BaseRepresentation
bin10101111111011101000000
3101211212222212
4111333131000
52433434203
6323321252
7100000241
oct25773500
911755885
105764928
113288304
121b20228
13126b000
14aa0cc8
1578d1d8
hex57f740

5764928 has 56 divisors (see below), whose sum is σ = 12694920. Its totient is φ = 2595840.

The previous prime is 5764909. The next prime is 5764943. The reversal of 5764928 is 8294675.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 2408704 = 1832^2 + 1552^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (120960) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140588 + ... + 140628.

It is an arithmetic number, because the mean of its divisors is an integer number (226695).

Almost surely, 25764928 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 5764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347460).

5764928 is an abundant number, since it is smaller than the sum of its proper divisors (6929992).

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

5764928 is an equidigital number, since it uses as much as digits as its factorization.

5764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 56 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 5764928 is about 2401.0264471680. The cubic root of 5764928 is about 179.3072964999.

5764928 divided by its sum of digits (41) gives a cube (140608 = 523).

The spelling of 5764928 in words is "five million, seven hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 169 208 328 338 416 533 656 676 832 1066 1312 1352 2132 2197 2624 2704 4264 4394 5408 6929 8528 8788 10816 13858 17056 17576 27716 34112 35152 55432 70304 90077 110864 140608 180154 221728 360308 443456 720616 1441232 2882464 5764928