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904068417 = 37291738581
BaseRepresentation
bin110101111000101…
…111110101000001
32100000011102201110
4311320233311001
53322420142132
6225413153533
731255311660
oct6570576501
92300142643
10904068417
11424360a8a
1221292b8a9
131153bc435
14880d8dd7
15545821cc
hex35e2fd41

904068417 has 32 divisors (see below), whose sum is σ = 1433537280. Its totient is φ = 495855360.

The previous prime is 904068391. The next prime is 904068439. The reversal of 904068417 is 714860409.

It is a happy number.

It is not a de Polignac number, because 904068417 - 26 = 904068353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904068457) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101067 + ... + 109647.

It is an arithmetic number, because the mean of its divisors is an integer number (44798040).

Almost surely, 2904068417 is an apocalyptic number.

It is an amenable number.

904068417 is a deficient number, since it is larger than the sum of its proper divisors (529468863).

904068417 is a wasteful number, since it uses less digits than its factorization.

904068417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 904068417 is about 30067.7304930053. The cubic root of 904068417 is about 966.9420177285.

The spelling of 904068417 in words is "nine hundred four million, sixty-eight thousand, four hundred seventeen".

Divisors: 1 3 7 21 29 87 173 203 519 609 1211 3633 5017 8581 15051 25743 35119 60067 105357 180201 248849 746547 1484513 1741943 4453539 5225829 10391591 31174773 43050877 129152631 301356139 904068417