Search a number
-
+
5776344 = 2332773157
BaseRepresentation
bin10110000010001111011000
3101212110122200
4112002033120
52434320334
6323450200
7100045440
oct26021730
911773580
105776344
113295942
121b26960
131273272
14aa5120
15791799
hex5823d8

5776344 has 96 divisors (see below), whose sum is σ = 18239520. Its totient is φ = 1617408.

The previous prime is 5776333. The next prime is 5776357. The reversal of 5776344 is 4436775.

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 + 63 + 3 + 46 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 5776299 and 5776308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36714 + ... + 36870.

It is an arithmetic number, because the mean of its divisors is an integer number (189995).

Almost surely, 25776344 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 5776344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119760).

5776344 is an abundant number, since it is smaller than the sum of its proper divisors (12463176).

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

5776344 is a wasteful number, since it uses less digits than its factorization.

5776344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 5776344 is about 2403.4025879989. The cubic root of 5776344 is about 179.4255762315.

The spelling of 5776344 in words is "five million, seven hundred seventy-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 157 168 219 252 292 314 438 471 504 511 584 628 657 876 942 1022 1099 1256 1314 1413 1533 1752 1884 2044 2198 2628 2826 3066 3297 3768 4088 4396 4599 5256 5652 6132 6594 8792 9198 9891 11304 11461 12264 13188 18396 19782 22922 26376 34383 36792 39564 45844 68766 79128 80227 91688 103149 137532 160454 206298 240681 275064 320908 412596 481362 641816 722043 825192 962724 1444086 1925448 2888172 5776344