Search a number
-
+
804464640 = 21132572943
BaseRepresentation
bin101111111100110…
…010100000000000
32002001202001000200
4233330302200000
53121420332030
6211454245200
725635556650
oct5774624000
92061661020
10804464640
11383110211
121a54b6800
13ca8870a5
1478bac360
154a959d60
hex2ff32800

804464640 has 576 divisors, whose sum is σ = 3372969600. Its totient is φ = 173408256.

The previous prime is 804464621. The next prime is 804464641. The reversal of 804464640 is 46464408.

804464640 is a `hidden beast` number, since 8 + 0 + 4 + 4 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 804464595 and 804464604.

It is not an unprimeable number, because it can be changed into a prime (804464641) by changing a digit.

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, 18708459 + ... + 18708501.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2804464640 is an apocalyptic number.

804464640 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 804464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686484800).

804464640 is an abundant number, since it is smaller than the sum of its proper divisors (2568504960).

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

804464640 is a wasteful number, since it uses less digits than its factorization.

804464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 804464640 is about 28363.0858687837. The cubic root of 804464640 is about 930.0414827143.

The spelling of 804464640 in words is "eight hundred four million, four hundred sixty-four thousand, six hundred forty".