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426427044 = 223438111019
BaseRepresentation
bin11001011010101…
…100001010100100
31002201101201221020
4121122230022210
51333131131134
6110151451140
713365366351
oct3132541244
91081351836
10426427044
111a9785a4a
12ba986ab0
136a4651c4
14408c3628
1527683b49
hex196ac2a4

426427044 has 48 divisors (see below), whose sum is σ = 1020391680. Its totient is φ = 138529440.

The previous prime is 426427033. The next prime is 426427063. The reversal of 426427044 is 440724624.

426427044 = T4432 + T4433 + ... + T4474.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 426426996 and 426427014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417967 + ... + 418985.

It is an arithmetic number, because the mean of its divisors is an integer number (21258160).

Almost surely, 2426427044 is an apocalyptic number.

It is an amenable number.

426427044 is an abundant number, since it is smaller than the sum of its proper divisors (593964636).

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

426427044 is a wasteful number, since it uses less digits than its factorization.

426427044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 426427044 is about 20650.1100239200. The cubic root of 426427044 is about 752.6878632364.

The spelling of 426427044 in words is "four hundred twenty-six million, four hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 811 1019 1622 2038 2433 3057 3244 4076 4866 6114 9732 12228 34873 43817 69746 87634 104619 131451 139492 175268 209238 262902 418476 525804 826409 1652818 2479227 3305636 4958454 9916908 35535587 71071174 106606761 142142348 213213522 426427044