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420884712 = 23327380077
BaseRepresentation
bin11001000101100…
…011000011101000
31002022222011021200
4121011203003220
51330221302322
6105433004200
713300314063
oct3105430350
91068864250
10420884712
111a663aa06
12b8b53660
1369274611
143dc7d8da
1526e3b8ac
hex191630e8

420884712 has 48 divisors (see below), whose sum is σ = 1155525540. Its totient is φ = 138371328.

The previous prime is 420884707. The next prime is 420884719. The reversal of 420884712 is 217488024.

It can be written as a sum of positive squares in 2 ways, for example, as 420824196 + 60516 = 20514^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420884719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34783 + ... + 45294.

Almost surely, 2420884712 is an apocalyptic number.

It is an amenable number.

420884712 is an abundant number, since it is smaller than the sum of its proper divisors (734640828).

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

420884712 is a wasteful number, since it uses less digits than its factorization.

420884712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80162 (or 80155 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 420884712 is about 20515.4749396644. The cubic root of 420884712 is about 749.4127028962.

The spelling of 420884712 in words is "four hundred twenty million, eight hundred eighty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 80077 160154 240231 320308 480462 640616 720693 960924 1441386 1921848 2882772 5765544 5845621 11691242 17536863 23382484 35073726 46764968 52610589 70147452 105221178 140294904 210442356 420884712