Search a number
-
+
6426240246 = 2337110316273
BaseRepresentation
bin1011111110000100…
…01010010011110110
3121120212002211101000
411333002022103312
5101130104141441
62541400344130
7315151066206
oct57702122366
917525084330
106426240246
1127a8499458
1212b4175046
137b5496c2a
1444d684406
152792812b6
hex17f08a4f6

6426240246 has 64 divisors (see below), whose sum is σ = 14623165440. Its totient is φ = 2091277440.

The previous prime is 6426240229. The next prime is 6426240251. The reversal of 6426240246 is 6420426246.

6426240246 is a `hidden beast` number, since 6 + 4 + 2 + 624 + 0 + 24 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6426240246.

It is a congruent number.

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, 386766 + ... + 403038.

It is an arithmetic number, because the mean of its divisors is an integer number (228486960).

Almost surely, 26426240246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6426240246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311582720).

6426240246 is an abundant number, since it is smaller than the sum of its proper divisors (8196925194).

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

6426240246 is a wasteful number, since it uses less digits than its factorization.

6426240246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16458 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6426240246 is about 80163.8337780822. The cubic root of 6426240246 is about 1859.1694991589.

The spelling of 6426240246 in words is "six billion, four hundred twenty-six million, two hundred forty thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 103 142 206 213 309 426 618 639 927 1278 1854 1917 2781 3834 5562 7313 14626 16273 21939 32546 43878 48819 65817 97638 131634 146457 197451 292914 394902 439371 878742 1155383 1676119 2310766 3352238 3466149 5028357 6932298 10056714 10398447 15085071 20796894 30170142 31195341 45255213 62390682 90510426 119004449 238008898 357013347 714026694 1071040041 2142080082 3213120123 6426240246