Search a number
-
+
5054344000 = 26533791667
BaseRepresentation
bin1001011010100001…
…10010101101000000
3111001020122021111221
410231100302231000
540322403002000
62153312044424
7236152133536
oct45520625500
914036567457
105054344000
112164055502
12b90833714
136271a82c4
1435d3aa156
151e8add61a
hex12d432b40

5054344000 has 112 divisors (see below), whose sum is σ = 12557638080. Its totient is φ = 2015193600.

The previous prime is 5054343971. The next prime is 5054344063. The reversal of 5054344000 is 4434505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031167 + ... + 3032833.

Almost surely, 25054344000 is an apocalyptic number.

5054344000 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 5054344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278819040).

5054344000 is an abundant number, since it is smaller than the sum of its proper divisors (7503294080).

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

5054344000 is a wasteful number, since it uses less digits than its factorization.

5054344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5054344000 is about 71093.9097250953. The cubic root of 5054344000 is about 1716.1487655451.

Adding to 5054344000 its reverse (4434505), we get a palindrome (5058778505).

The spelling of 5054344000 in words is "five billion, fifty-four million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 379 400 500 758 800 1000 1516 1600 1667 1895 2000 3032 3334 3790 4000 6064 6668 7580 8000 8335 9475 12128 13336 15160 16670 18950 24256 26672 30320 33340 37900 41675 47375 53344 60640 66680 75800 83350 94750 106688 121280 133360 151600 166700 189500 208375 266720 303200 333400 379000 416750 533440 606400 631793 666800 758000 833500 1263586 1333600 1516000 1667000 2527172 2667200 3032000 3158965 3334000 5054344 6317930 6668000 10108688 12635860 13336000 15794825 20217376 25271720 31589650 40434752 50543440 63179300 78974125 101086880 126358600 157948250 202173760 252717200 315896500 505434400 631793000 1010868800 1263586000 2527172000 5054344000