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427081640 = 23517361717
BaseRepresentation
bin11001011101001…
…011111110101000
31002202121222212112
4121131023332220
51333313103030
6110213501452
713404063656
oct3135137650
91082558775
10427081640
111aa092837
12bb041888
136a63413b
1440a13dd6
1527762a95
hex1974bfa8

427081640 has 32 divisors (see below), whose sum is σ = 966503880. Its totient is φ = 169842432.

The previous prime is 427081607. The next prime is 427081657. The reversal of 427081640 is 46180724.

It can be written as a sum of positive squares in 4 ways, for example, as 343212676 + 83868964 = 18526^2 + 9158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427081597 and 427081606.

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 7 ways as a sum of consecutive naturals, for example, 23939 + ... + 37778.

Almost surely, 2427081640 is an apocalyptic number.

427081640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427081640 is an abundant number, since it is smaller than the sum of its proper divisors (539422240).

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

427081640 is a wasteful number, since it uses less digits than its factorization.

427081640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61901 (or 61897 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 427081640 is about 20665.9536436139. The cubic root of 427081640 is about 753.0728095581.

The spelling of 427081640 in words is "four hundred twenty-seven million, eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 61717 123434 246868 308585 493736 617170 1234340 2468680 10677041 21354082 42708164 53385205 85416328 106770410 213540820 427081640