Search a number
-
+
426124404 = 223223514643
BaseRepresentation
bin11001011001100…
…010010001110100
31002200211100210100
4121121202101310
51333041440104
6110141154100
713362666126
oct3131422164
91080740710
10426124404
111a9599632
12ba85b930
136a38a524
1440845216
1527624139
hex19662474

426124404 has 36 divisors (see below), whose sum is σ = 1123982496. Its totient is φ = 135865488.

The previous prime is 426124403. The next prime is 426124409. The reversal of 426124404 is 404421624.

It is a happy number.

426124404 is a `hidden beast` number, since 4 + 2 + 612 + 4 + 40 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426124403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 256494 + ... + 258149.

It is an arithmetic number, because the mean of its divisors is an integer number (31221736).

Almost surely, 2426124404 is an apocalyptic number.

It is an amenable number.

426124404 is an abundant number, since it is smaller than the sum of its proper divisors (697858092).

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

426124404 is a wasteful number, since it uses less digits than its factorization.

426124404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514676 (or 514671 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 426124404 is about 20642.7809173086. The cubic root of 426124404 is about 752.5097574553.

The spelling of 426124404 in words is "four hundred twenty-six million, one hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 514643 1029286 1543929 2058572 3087858 4631787 6175716 9263574 11836789 18527148 23673578 35510367 47347156 71020734 106531101 142041468 213062202 426124404