[go: up one dir, main page]

Search a number
-
+
5730443250 = 235372394567
BaseRepresentation
bin1010101011000111…
…11001111111110010
3112210100211200022220
411111203321333302
543213443141000
62344343141510
7262001651430
oct52543717762
915710750286
105730443250
11248075a914
12113b144896
1370429992c
143c50c1d50
1523813e1a0
hex1558f9ff2

5730443250 has 128 divisors (see below), whose sum is σ = 16418488320. Its totient is φ = 1304049600.

The previous prime is 5730443227. The next prime is 5730443281. The reversal of 5730443250 is 523440375.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252467 + ... + 1257033.

It is an arithmetic number, because the mean of its divisors is an integer number (128269440).

Almost surely, 25730443250 is an apocalyptic number.

5730443250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5730443250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209244160).

5730443250 is an abundant number, since it is smaller than the sum of its proper divisors (10688045070).

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

5730443250 is a wasteful number, since it uses less digits than its factorization.

5730443250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 5730443250 is about 75699.6912146939. The cubic root of 5730443250 is about 1789.4905336201.

The spelling of 5730443250 in words is "five billion, seven hundred thirty million, four hundred forty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 239 250 350 375 478 525 717 750 875 1050 1195 1434 1673 1750 2390 2625 3346 3585 4567 5019 5250 5975 7170 8365 9134 10038 11950 13701 16730 17925 22835 25095 27402 29875 31969 35850 41825 45670 50190 59750 63938 68505 83650 89625 95907 114175 125475 137010 159845 179250 191814 209125 228350 250950 319690 342525 418250 479535 570875 627375 685050 799225 959070 1091513 1141750 1254750 1598450 1712625 2183026 2397675 3274539 3425250 3996125 4795350 5457565 6549078 7640591 7992250 10915130 11988375 15281182 16372695 22921773 23976750 27287825 32745390 38202955 45843546 54575650 76405910 81863475 114608865 136439125 163726950 191014775 229217730 272878250 382029550 409317375 573044325 818634750 955073875 1146088650 1910147750 2865221625 5730443250