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404195407 = 71112741333
BaseRepresentation
bin11000000101111…
…000100001001111
31001011120020212021
4120011320201033
51311433223112
6104035151011
713005414160
oct3005704117
91034506767
10404195407
11198180aa0
12b3445467
13659800a5
143b977767
1525741907
hex1817884f

404195407 has 16 divisors (see below), whose sum is σ = 507912192. Its totient is φ = 312469920.

The previous prime is 404195387. The next prime is 404195413. The reversal of 404195407 is 704591404.

It is not a de Polignac number, because 404195407 - 211 = 404193359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404195497) 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 15 ways as a sum of consecutive naturals, for example, 10888 + ... + 30445.

It is an arithmetic number, because the mean of its divisors is an integer number (31744512).

Almost surely, 2404195407 is an apocalyptic number.

404195407 is a deficient number, since it is larger than the sum of its proper divisors (103716785).

404195407 is a wasteful number, since it uses less digits than its factorization.

404195407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41478.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 404195407 is about 20104.6115854050. The cubic root of 404195407 is about 739.3733476182.

The spelling of 404195407 in words is "four hundred four million, one hundred ninety-five thousand, four hundred seven".

Divisors: 1 7 11 77 127 889 1397 9779 41333 289331 454663 3182641 5249291 36745037 57742201 404195407