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419226 = 23107653
BaseRepresentation
bin1100110010110011010
3210022001220
41212112122
5101403401
612552510
73364143
oct1462632
9708056
10419226
11266a75
12182736
13118a82
14acaca
1584336
hex6659a

419226 has 16 divisors (see below), whose sum is σ = 847584. Its totient is φ = 138224.

The previous prime is 419201. The next prime is 419231. The reversal of 419226 is 622914.

419226 is nontrivially palindromic in base 14.

It is a d-powerful number, because it can be written as 42 + 1 + 213 + 9 + 217 + 67 .

419226 is an undulating number in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 419196 and 419205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 419226.

It is an unprimeable number.

419226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (52974).

2419226 is an apocalyptic number.

419226 is the 410-th centered pentagonal number.

419226 is an abundant number, since it is smaller than the sum of its proper divisors (428358).

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

419226 is a wasteful number, since it uses less digits than its factorization.

419226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765.

The product of its digits is 864, while the sum is 24.

The square root of 419226 is about 647.4766405053. The cubic root of 419226 is about 74.8426925110.

The spelling of 419226 in words is "four hundred nineteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 107 214 321 642 653 1306 1959 3918 69871 139742 209613 419226