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804541401 = 32412180329
BaseRepresentation
bin101111111101000…
…101001111011001
32002001212221022200
4233331011033121
53121430311101
6211500040413
725636326516
oct5775051731
92061787280
10804541401
11383162954
121a5533109
13ca8b3001
1478bcc30d
154a972986
hex2ff453d9

804541401 has 12 divisors (see below), whose sum is σ = 1190460180. Its totient is φ = 523278720.

The previous prime is 804541393. The next prime is 804541429. The reversal of 804541401 is 104145408.

It is a happy number.

804541401 is a `hidden beast` number, since 80 + 4 + 541 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 300987801 + 503553600 = 17349^2 + 22440^2 .

It is not a de Polignac number, because 804541401 - 23 = 804541393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (804541501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089796 + ... + 1090533.

It is an arithmetic number, because the mean of its divisors is an integer number (99205015).

Almost surely, 2804541401 is an apocalyptic number.

It is an amenable number.

804541401 is a deficient number, since it is larger than the sum of its proper divisors (385918779).

804541401 is a wasteful number, since it uses less digits than its factorization.

804541401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180376 (or 2180373 counting only the distinct ones).

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

The square root of 804541401 is about 28364.4390214226. The cubic root of 804541401 is about 930.0710629014.

Adding to 804541401 its reverse (104145408), we get a palindrome (908686809).

The spelling of 804541401 in words is "eight hundred four million, five hundred forty-one thousand, four hundred one".

Divisors: 1 3 9 41 123 369 2180329 6540987 19622961 89393489 268180467 804541401