Search a number
-
+
426564054 = 232714922721
BaseRepresentation
bin11001011011001…
…101100111010110
31002201122200212200
4121123031213112
51333200022204
6110154425330
713366506660
oct3133154726
91081580780
10426564054
111a9869984
12baa32246
136a4b2687
144091b530
15276ae539
hex196cd9d6

426564054 has 48 divisors (see below), whose sum is σ = 1063389600. Its totient is φ = 121052160.

The previous prime is 426564031. The next prime is 426564071. The reversal of 426564054 is 450465624.

426564054 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 640 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7414 + ... + 30134.

It is an arithmetic number, because the mean of its divisors is an integer number (22153950).

Almost surely, 2426564054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426564054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531694800).

426564054 is an abundant number, since it is smaller than the sum of its proper divisors (636825546).

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

426564054 is a wasteful number, since it uses less digits than its factorization.

426564054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22885 (or 22882 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 426564054 is about 20653.4271732320. The cubic root of 426564054 is about 752.7684668808.

The spelling of 426564054 in words is "four hundred twenty-six million, five hundred sixty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 6258 9387 18774 22721 45442 68163 136326 159047 204489 318094 408978 477141 954282 1431423 2862846 3385429 6770858 10156287 20312574 23698003 30468861 47396006 60937722 71094009 142188018 213282027 426564054