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420894018 = 232375211213
BaseRepresentation
bin11001000101100…
…101010101000010
31002022222122001100
4121011211111002
51330222102033
6105433115230
713300353156
oct3105452502
91068878040
10420894018
111a66469a6
12b8b58b16
136927891c
143dc83066
1526e3e513
hex19165542

420894018 has 48 divisors (see below), whose sum is σ = 939155256. Its totient is φ = 136131840.

The previous prime is 420894013. The next prime is 420894029. The reversal of 420894018 is 810498024.

It can be written as a sum of positive squares in 4 ways, for example, as 299739969 + 121154049 = 17313^2 + 11007^2 .

It is not an unprimeable number, because it can be changed into a prime (420894013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346380 + ... + 347592.

Almost surely, 2420894018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420894018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469577628).

420894018 is an abundant number, since it is smaller than the sum of its proper divisors (518261238).

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

420894018 is a wasteful number, since it uses less digits than its factorization.

420894018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 420894018 is about 20515.7017428115. The cubic root of 420894018 is about 749.4182261690.

The spelling of 420894018 in words is "four hundred twenty million, eight hundred ninety-four thousand, eighteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 521 666 1042 1213 1563 2426 3126 3639 4689 7278 9378 10917 19277 21834 38554 44881 57831 89762 115662 134643 173493 269286 346986 403929 631973 807858 1263946 1895919 3791838 5687757 11375514 23383001 46766002 70149003 140298006 210447009 420894018