Search a number
-
+
404966641 = 1946320807
BaseRepresentation
bin11000001000110…
…100110011110001
31001020000102210111
4120020310303301
51312132413031
6104103501321
713015105522
oct3010646361
91036012714
10404966641
11198658482
12b3757841
1365b90141
143bad8849
15258451b1
hex18234cf1

404966641 has 4 divisors (see below), whose sum is σ = 405006912. Its totient is φ = 404926372.

The previous prime is 404966633. The next prime is 404966651. The reversal of 404966641 is 146669404.

It is the 8216-th star number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 404966641 - 23 = 404966633 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404966594 and 404966603.

It is not an unprimeable number, because it can be changed into a prime (404966621) 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 3 ways as a sum of consecutive naturals, for example, 9060 + ... + 29866.

It is an arithmetic number, because the mean of its divisors is an integer number (101251728).

Almost surely, 2404966641 is an apocalyptic number.

It is an amenable number.

404966641 is a deficient number, since it is larger than the sum of its proper divisors (40271).

404966641 is a wasteful number, since it uses less digits than its factorization.

404966641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40270.

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 404966641 is about 20123.7829694121. The cubic root of 404966641 is about 739.8433080701.

The spelling of 404966641 in words is "four hundred four million, nine hundred sixty-six thousand, six hundred forty-one".

Divisors: 1 19463 20807 404966641