Search a number
-
+
5031744 = 26373359
BaseRepresentation
bin10011001100011101000000
3100110122020220
4103030131000
52242003434
6255503040
760524544
oct23143500
910418226
105031744
112927473
121827a80
131072383
1494da24
15695d49
hex4cc740

5031744 has 56 divisors (see below), whose sum is σ = 13533120. Its totient is φ = 1649664.

The previous prime is 5031737. The next prime is 5031749. The reversal of 5031744 is 4471305.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5031749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13837 + ... + 14195.

Almost surely, 25031744 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 5031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766560).

5031744 is an abundant number, since it is smaller than the sum of its proper divisors (8501376).

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

5031744 is a wasteful number, since it uses less digits than its factorization.

5031744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5031744 is about 2243.1549210877. The cubic root of 5031744 is about 171.3587080399.

It can be divided in two parts, 5031 and 744, that added together give a palindrome (5775).

The spelling of 5031744 in words is "five million, thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 359 438 584 718 876 1077 1168 1436 1752 2154 2336 2872 3504 4308 4672 5744 7008 8616 11488 14016 17232 22976 26207 34464 52414 68928 78621 104828 157242 209656 314484 419312 628968 838624 1257936 1677248 2515872 5031744