Search a number
-
+
5440000 = 295417
BaseRepresentation
bin10100110000001000000000
3101020101021111
4110300020000
52343040000
6312333104
764145026
oct24601000
911211244
105440000
113086175
1219a4194
131186147
14a18716
15726cba
hex530200

5440000 has 100 divisors (see below), whose sum is σ = 14381334. Its totient is φ = 2048000.

The previous prime is 5439997. The next prime is 5440007. The reversal of 5440000 is 445.

It can be written as a sum of positive squares in 5 ways, for example, as 350464 + 5089536 = 592^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319992 + ... + 320008.

Almost surely, 25440000 is an apocalyptic number.

5440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190667).

5440000 is an abundant number, since it is smaller than the sum of its proper divisors (8941334).

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

5440000 is an frugal number, since it uses more digits than its factorization.

5440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5440000 is about 2332.3807579381. The cubic root of 5440000 is about 175.8731868863.

Adding to 5440000 its reverse (445), we get a palindrome (5440445).

The spelling of 5440000 in words is "five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 512 544 625 640 680 800 850 1000 1088 1250 1280 1360 1600 1700 2000 2125 2176 2500 2560 2720 3200 3400 4000 4250 4352 5000 5440 6400 6800 8000 8500 8704 10000 10625 10880 12800 13600 16000 17000 20000 21250 21760 27200 32000 34000 40000 42500 43520 54400 64000 68000 80000 85000 108800 136000 160000 170000 217600 272000 320000 340000 544000 680000 1088000 1360000 2720000 5440000