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427457415 = 357112316091
BaseRepresentation
bin11001011110100…
…111101110000111
31002210100002100010
4121132213232013
51333412114130
6110225521303
713410220350
oct3136475607
91083302303
10427457415
111aa31a0a0
12bb1a3233
136a7361a8
1440ab0d27
15277d90b0
hex197a7b87

427457415 has 64 divisors (see below), whose sum is σ = 889823232. Its totient is φ = 169910400.

The previous prime is 427457389. The next prime is 427457449. The reversal of 427457415 is 514754724.

It is not a de Polignac number, because 427457415 - 27 = 427457287 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18520 + ... + 34610.

It is an arithmetic number, because the mean of its divisors is an integer number (13903488).

Almost surely, 2427457415 is an apocalyptic number.

427457415 is an abundant number, since it is smaller than the sum of its proper divisors (462365817).

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

427457415 is a wasteful number, since it uses less digits than its factorization.

427457415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16140.

The product of its digits is 156800, while the sum is 39.

The square root of 427457415 is about 20675.0432889511. The cubic root of 427457415 is about 753.2936127585.

The spelling of 427457415 in words is "four hundred twenty-seven million, four hundred fifty-seven thousand, four hundred fifteen".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 77 105 115 161 165 231 253 345 385 483 759 805 1155 1265 1771 2415 3795 5313 8855 16091 26565 48273 80455 112637 177001 241365 337911 370093 531003 563185 885005 1110279 1239007 1689555 1850465 2590651 2655015 3717021 4071023 5551395 6195035 7771953 12213069 12953255 18585105 20355115 28497161 38859765 61065345 85491483 142485805 427457415