Search a number
-
+
813250000 = 24563253
BaseRepresentation
bin110000011110010…
…011010111010000
32002200021101021101
4300132103113100
53131143000000
6212410434144
726103340153
oct6036232720
92080241241
10813250000
11388070842
121a8432954
13cc641b24
147a017c9a
154b5e2e6a
hex307935d0

813250000 has 70 divisors (see below), whose sum is σ = 1970170094. Its totient is φ = 325200000.

The previous prime is 813249979. The next prime is 813250051. The reversal of 813250000 is 52318.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 730512784 + 82737216 = 27028^2 + 9096^2 .

It is a super-2 number, since 2×8132500002 = 1322751125000000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813250000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 248374 + ... + 251626.

Almost surely, 2813250000 is an apocalyptic number.

813250000 is a gapful number since it is divisible by the number (80) 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 813250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985085047).

813250000 is an abundant number, since it is smaller than the sum of its proper divisors (1156920094).

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

813250000 is an frugal number, since it uses more digits than its factorization.

813250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 813250000 is about 28517.5384631984. The cubic root of 813250000 is about 933.4148171490.

The spelling of 813250000 in words is "eight hundred thirteen million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 3253 5000 6250 6506 10000 12500 13012 15625 16265 25000 26024 31250 32530 50000 52048 62500 65060 81325 125000 130120 162650 250000 260240 325300 406625 650600 813250 1301200 1626500 2033125 3253000 4066250 6506000 8132500 10165625 16265000 20331250 32530000 40662500 50828125 81325000 101656250 162650000 203312500 406625000 813250000