Search a number
-
+
805482000 = 24325373613
BaseRepresentation
bin110000000000101…
…010111000010000
32002010122201120200
4300000222320100
53122200411000
6211532135200
725650325011
oct6000527020
92063581520
10805482000
11383745604
121a5907500
13cab5218b
1478d95008
154aaab500
hex3002ae10

805482000 has 240 divisors, whose sum is σ = 2856470448. Its totient is φ = 211507200.

The previous prime is 805481923. The next prime is 805482019. The reversal of 805482000 is 284508.

It can be written as a sum of positive squares in 8 ways, for example, as 522031104 + 283450896 = 22848^2 + 16836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313694 + ... + 1314306.

Almost surely, 2805482000 is an apocalyptic number.

805482000 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 805482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428235224).

805482000 is an abundant number, since it is smaller than the sum of its proper divisors (2050988448).

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

805482000 is a wasteful number, since it uses less digits than its factorization.

805482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 805482000 is about 28381.0147810116. The cubic root of 805482000 is about 930.4333741550.

The spelling of 805482000 in words is "eight hundred five million, four hundred eighty-two thousand".