Search a number
-
+
804161440 = 2558595851
BaseRepresentation
bin101111111011101…
…000011110100000
32002001011122010001
4233323220132200
53121331131230
6211443545344
725633154665
oct5773503640
92061148101
10804161440
11382a23435
121a538b254
13ca7ac094
1478b2da6c
154a8ea0ca
hex2fee87a0

804161440 has 48 divisors (see below), whose sum is σ = 1902368160. Its totient is φ = 321235200.

The previous prime is 804161437. The next prime is 804161459. The reversal of 804161440 is 44161408.

It is a junction number, because it is equal to n+sod(n) for n = 804161399 and 804161408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134515 + ... + 140365.

It is an arithmetic number, because the mean of its divisors is an integer number (39632670).

Almost surely, 2804161440 is an apocalyptic number.

804161440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804161440 is an abundant number, since it is smaller than the sum of its proper divisors (1098206720).

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

804161440 is a wasteful number, since it uses less digits than its factorization.

804161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 804161440 is about 28357.7403895303. The cubic root of 804161440 is about 929.9246248697.

The spelling of 804161440 in words is "eight hundred four million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 859 1718 3436 4295 5851 6872 8590 11702 13744 17180 23404 27488 29255 34360 46808 58510 68720 93616 117020 137440 187232 234040 468080 936160 5026009 10052018 20104036 25130045 40208072 50260090 80416144 100520180 160832288 201040360 402080720 804161440