Search a number
-
+
426544140 = 2235113717467
BaseRepresentation
bin11001011011001…
…000110000001100
31002201121200120010
4121123020300030
51333143403030
6110154153220
713366364631
oct3133106014
91081550503
10426544140
111a9855a20
12baa22810
136a4a65a9
1440914188
15276a86b0
hex196c8c0c

426544140 has 96 divisors (see below), whose sum is σ = 1338188544. Its totient is φ = 100604160.

The previous prime is 426544081. The next prime is 426544169. The reversal of 426544140 is 41445624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 426544098 and 426544107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15687 + ... + 33153.

It is an arithmetic number, because the mean of its divisors is an integer number (13939464).

Almost surely, 2426544140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426544140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669094272).

426544140 is an abundant number, since it is smaller than the sum of its proper divisors (911644404).

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

426544140 is a wasteful number, since it uses less digits than its factorization.

426544140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17527 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 426544140 is about 20652.9450684400. The cubic root of 426544140 is about 752.7567524506.

Adding to 426544140 its reverse (41445624), we get a palindrome (467989764).

The spelling of 426544140 in words is "four hundred twenty-six million, five hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 17467 24420 34934 52401 69868 87335 104802 174670 192137 209604 262005 349340 384274 524010 576411 646279 768548 960685 1048020 1152822 1292558 1921370 1938837 2305644 2585116 2882055 3231395 3842740 3877674 5764110 6462790 7109069 7755348 9694185 11528220 12925580 14218138 19388370 21327207 28436276 35545345 38776740 42654414 71090690 85308828 106636035 142181380 213272070 426544140