Search a number
-
+
805497840 = 243257712251
BaseRepresentation
bin110000000000101…
…110101111110000
32002010200112022100
4300000232233300
53122201412330
6211532340400
725650422130
oct6000565760
92063615270
10805497840
113837564a4
121a5914700
13cab59454
1478d9aac0
154aab1060
hex3002ebf0

805497840 has 240 divisors, whose sum is σ = 3136513536. Its totient is φ = 181440000.

The previous prime is 805497829. The next prime is 805497871. The reversal of 805497840 is 48794508.

805497840 is a `hidden beast` number, since 80 + 5 + 497 + 84 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 356715 + ... + 358965.

Almost surely, 2805497840 is an apocalyptic number.

805497840 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 805497840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568256768).

805497840 is an abundant number, since it is smaller than the sum of its proper divisors (2331015696).

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

805497840 is a wasteful number, since it uses less digits than its factorization.

805497840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 805497840 is about 28381.2938394288. The cubic root of 805497840 is about 930.4394731814.

The spelling of 805497840 in words is "eight hundred five million, four hundred ninety-seven thousand, eight hundred forty".