Search a number
-
+
455050000 = 245519479
BaseRepresentation
bin11011000111111…
…000001100010000
31011201020221020201
4123013320030100
51412443100000
6113053144544
714163601246
oct3307701420
91151227221
10455050000
11213955889
1210848b154
1373377472
1444614796
1529e3996a
hex1b1f8310

455050000 has 120 divisors (see below), whose sum is σ = 1162425600. Its totient is φ = 172080000.

The previous prime is 455049979. The next prime is 455050027. The reversal of 455050000 is 50554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 455050000.

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 23 ways as a sum of consecutive naturals, for example, 949761 + ... + 950239.

It is an arithmetic number, because the mean of its divisors is an integer number (9686880).

Almost surely, 2455050000 is an apocalyptic number.

455050000 is a gapful number since it is divisible by the number (40) 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 455050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581212800).

455050000 is an abundant number, since it is smaller than the sum of its proper divisors (707375600).

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

455050000 is an equidigital number, since it uses as much as digits as its factorization.

455050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 455050000 is about 21331.9009935824. The cubic root of 455050000 is about 769.1653405888.

The spelling of 455050000 in words is "four hundred fifty-five million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 479 500 625 760 950 958 1000 1250 1520 1900 1916 2000 2375 2395 2500 3125 3800 3832 4750 4790 5000 6250 7600 7664 9101 9500 9580 10000 11875 11975 12500 18202 19000 19160 23750 23950 25000 36404 38000 38320 45505 47500 47900 50000 59375 59875 72808 91010 95000 95800 118750 119750 145616 182020 190000 191600 227525 237500 239500 299375 364040 455050 475000 479000 598750 728080 910100 950000 958000 1137625 1197500 1496875 1820200 2275250 2395000 2993750 3640400 4550500 4790000 5688125 5987500 9101000 11376250 11975000 18202000 22752500 23950000 28440625 45505000 56881250 91010000 113762500 227525000 455050000