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5011344 = 2432132677
BaseRepresentation
bin10011000111011110010000
3100102121021100
4103013132100
52240330334
6255224400
760411222
oct23073620
910377240
105011344
112913108
121818100
131065cc0
14946412
1568ec99
hex4c7790

5011344 has 60 divisors (see below), whose sum is σ = 15109276. Its totient is φ = 1541376.

The previous prime is 5011343. The next prime is 5011351. The reversal of 5011344 is 4431105.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 4665600 = 588^2 + 2160^2 .

It is a super-2 number, since 2×50113442 = 50227137372672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5011343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 534 + ... + 3210.

Almost surely, 25011344 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 5011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554638).

5011344 is an abundant number, since it is smaller than the sum of its proper divisors (10097932).

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

5011344 is a wasteful number, since it uses less digits than its factorization.

5011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5011344 is about 2238.6031358863. The cubic root of 5011344 is about 171.1268167714.

Adding to 5011344 its reverse (4431105), we get a palindrome (9442449).

The spelling of 5011344 in words is "five million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2677 5354 8031 10708 16062 21416 24093 32124 34801 42832 48186 64248 69602 96372 104403 128496 139204 192744 208806 278408 313209 385488 417612 556816 626418 835224 1252836 1670448 2505672 5011344