Search a number
-
+
5774328 = 233471967
BaseRepresentation
bin10110000001101111111000
3101212100220000
4112001233320
52434234303
6323433000
7100036530
oct26015770
911770800
105774328
11329437a
121b25760
131272381
14aa44c0
15790da3
hex581bf8

5774328 has 160 divisors (see below), whose sum is σ = 19747200. Its totient is φ = 1539648.

The previous prime is 5774323. The next prime is 5774369. The reversal of 5774328 is 8234775.

5774328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 55 + 7 + 78 + 46 + 35 + 211 + 8 .

Its product of digits (47040) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 5774292 and 5774301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5774323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86151 + ... + 86217.

It is an arithmetic number, because the mean of its divisors is an integer number (123420).

Almost surely, 25774328 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 5774328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873600).

5774328 is an abundant number, since it is smaller than the sum of its proper divisors (13972872).

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

5774328 is a wasteful number, since it uses less digits than its factorization.

5774328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5774328 is about 2402.9831460083. The cubic root of 5774328 is about 179.4047000480.

The spelling of 5774328 in words is "five million, seven hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 67 72 76 81 84 108 114 126 133 134 152 162 168 171 189 201 216 228 252 266 268 324 342 378 399 402 456 469 504 513 532 536 567 603 648 684 756 798 804 938 1026 1064 1134 1197 1206 1273 1368 1407 1512 1539 1596 1608 1809 1876 2052 2268 2394 2412 2546 2814 3078 3192 3591 3618 3752 3819 4104 4221 4536 4788 4824 5092 5427 5628 6156 7182 7236 7638 8442 8911 9576 10184 10773 10854 11256 11457 12312 12663 14364 14472 15276 16884 17822 21546 21708 22914 25326 26733 28728 30552 33768 34371 35644 37989 43092 43416 45828 50652 53466 68742 71288 75978 80199 86184 91656 101304 103113 106932 137484 151956 160398 206226 213864 240597 274968 303912 320796 412452 481194 641592 721791 824904 962388 1443582 1924776 2887164 5774328