Search a number
-
+
5519844 = 22321153263
BaseRepresentation
bin10101000011100111100100
3101101102210200
4111003213210
52403113334
6314150500
764626561
oct25034744
911342720
105519844
113130160
121a22430
1311b35a5
14a39868
15740799
hex5439e4

5519844 has 72 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 1634880.

The previous prime is 5519819. The next prime is 5519879. The reversal of 5519844 is 4489155.

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

It is a junction number, because it is equal to n+sod(n) for n = 5519799 and 5519808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20857 + ... + 21119.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 25519844 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 5519844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776).

5519844 is an abundant number, since it is smaller than the sum of its proper divisors (10047708).

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

5519844 is a wasteful number, since it uses less digits than its factorization.

5519844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5519844 is about 2349.4348256549. The cubic root of 5519844 is about 176.7294535740.

The spelling of 5519844 in words is "five million, five hundred nineteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 263 318 396 477 526 583 636 789 954 1052 1166 1578 1749 1908 2332 2367 2893 3156 3498 4734 5247 5786 6996 8679 9468 10494 11572 13939 17358 20988 26037 27878 34716 41817 52074 55756 83634 104148 125451 153329 167268 250902 306658 459987 501804 613316 919974 1379961 1839948 2759922 5519844