Search a number
-
+
809493696 = 263311371151
BaseRepresentation
bin110000001111111…
…110010011000000
32002102012112121000
4300033332103000
53124212244241
6212154132000
726026403634
oct6017762300
92072175530
10809493696
11385a35660
121a7121000
13cb92816b
147971adc4
154b0eeeb6
hex303fe4c0

809493696 has 224 divisors, whose sum is σ = 2668584960. Its totient is φ = 238464000.

The previous prime is 809493683. The next prime is 809493701. The reversal of 809493696 is 696394908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702721 + ... + 703871.

Almost surely, 2809493696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

809493696 is an abundant number, since it is smaller than the sum of its proper divisors (1859091264).

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

809493696 is a wasteful number, since it uses less digits than its factorization.

809493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 809493696 is about 28451.6026965090. The cubic root of 809493696 is about 931.9754885582.

The spelling of 809493696 in words is "eight hundred nine million, four hundred ninety-three thousand, six hundred ninety-six".