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420271648 = 2541320329
BaseRepresentation
bin11001000011001…
…101011000100000
31002021211000022121
4121003031120200
51330042143043
6105411514024
713262151526
oct3103153040
91067730277
10420271648
111a6261345
12b88b8914
13690bb564
143db60316
1526d69ded
hex190cd620

420271648 has 24 divisors (see below), whose sum is σ = 847593180. Its totient is φ = 205009920.

The previous prime is 420271613. The next prime is 420271661. The reversal of 420271648 is 846172024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 415018384 + 5253264 = 20372^2 + 2292^2 .

It is a super-2 number, since 2×4202716482 = 353256516225271808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158853 + ... + 161476.

Almost surely, 2420271648 is an apocalyptic number.

It is an amenable number.

420271648 is an abundant number, since it is smaller than the sum of its proper divisors (427321532).

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

420271648 is a wasteful number, since it uses less digits than its factorization.

420271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320380 (or 320372 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 420271648 is about 20500.5279932006. The cubic root of 420271648 is about 749.0486592594.

The spelling of 420271648 in words is "four hundred twenty million, two hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 320329 640658 1281316 2562632 5125264 10250528 13133489 26266978 52533956 105067912 210135824 420271648