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419415940 = 22520970797
BaseRepresentation
bin11000111111111…
…100011110000100
31002020012112111201
4120333330132010
51324332302230
6105341312244
713251655666
oct3077743604
91066175451
10419415940
111a5827449
12b8565684
1368b7bc18
143d9ba536
1526c4b5ca
hex18ffc784

419415940 has 12 divisors (see below), whose sum is σ = 880773516. Its totient is φ = 167766368.

The previous prime is 419415911. The next prime is 419415967. The reversal of 419415940 is 49514914.

It can be written as a sum of positive squares in 2 ways, for example, as 78570496 + 340845444 = 8864^2 + 18462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 419415940.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10485379 + ... + 10485418.

It is an arithmetic number, because the mean of its divisors is an integer number (73397793).

Almost surely, 2419415940 is an apocalyptic number.

It is an amenable number.

419415940 is an abundant number, since it is smaller than the sum of its proper divisors (461357576).

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

419415940 is a wasteful number, since it uses less digits than its factorization.

419415940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20970806 (or 20970804 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 419415940 is about 20479.6469696135. The cubic root of 419415940 is about 748.5399387318.

The spelling of 419415940 in words is "four hundred nineteen million, four hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 20970797 41941594 83883188 104853985 209707970 419415940