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417680484 = 223133186369
BaseRepresentation
bin11000111001010…
…100110001100100
31002002221100220120
4120321110301210
51323411233414
6105240201540
713231140234
oct3071246144
91062840816
10417680484
111a4851591
12b7a692b0
13686c2020
143d687cc4
1526a072a9
hex18e54c64

417680484 has 48 divisors (see below), whose sum is σ = 1083425280. Its totient is φ = 124369920.

The previous prime is 417680467. The next prime is 417680509. The reversal of 417680484 is 484086714.

It is a happy number.

It is an unprimeable number.

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, 38349 + ... + 48020.

It is an arithmetic number, because the mean of its divisors is an integer number (22571360).

Almost surely, 2417680484 is an apocalyptic number.

It is an amenable number.

417680484 is an abundant number, since it is smaller than the sum of its proper divisors (665744796).

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

417680484 is a wasteful number, since it uses less digits than its factorization.

417680484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86420 (or 86418 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 417680484 is about 20437.2327872440. The cubic root of 417680484 is about 747.5060772130.

The spelling of 417680484 in words is "four hundred seventeen million, six hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 86369 172738 259107 345476 518214 1036428 1122797 2245594 2677439 3368391 4491188 5354878 6736782 8032317 10709756 13473564 16064634 32129268 34806707 69613414 104420121 139226828 208840242 417680484