Search a number
-
+
642444246 = 2321737179317
BaseRepresentation
bin100110010010101…
…110101111010110
31122202212112211100
4212102232233112
52303431203441
6143425450530
721630454203
oct4622565726
91582775740
10642444246
112aa708964
1215b1a0a46
13a3139b32
1461474caa
153b603cb6
hex264aebd6

642444246 has 96 divisors (see below), whose sum is σ = 1526934240. Its totient is φ = 194393088.

The previous prime is 642444241. The next prime is 642444251.

642444246 is a `hidden beast` number, since 642 + 4 + 4 + 4 + 2 + 4 + 6 = 666.

642444246 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (642444241) and next prime (642444251).

It is a self number, because there is not a number n which added to its sum of digits gives 642444246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642444241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2026480 + ... + 2026796.

It is an arithmetic number, because the mean of its divisors is an integer number (15905565).

Almost surely, 2642444246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642444246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763467120).

642444246 is an abundant number, since it is smaller than the sum of its proper divisors (884489994).

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

642444246 is a wasteful number, since it uses less digits than its factorization.

642444246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 642444246 is about 25346.4838981662. The cubic root of 642444246 is about 862.8695590851.

The spelling of 642444246 in words is "six hundred forty-two million, four hundred forty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 179 222 306 317 333 358 537 629 634 666 951 1074 1258 1611 1887 1902 2853 3043 3222 3774 5389 5661 5706 6086 6623 9129 10778 11322 11729 13246 16167 18258 19869 23458 27387 32334 35187 39738 48501 54774 56743 59607 70374 97002 105561 112591 113486 119214 170229 199393 211122 225182 337773 340458 398786 510687 598179 675546 964631 1013319 1021374 1196358 1794537 1929262 2026638 2099491 2893893 3589074 4198982 5787786 6298473 8681679 12596946 17363358 18895419 35691347 37790838 71382694 107074041 214148082 321222123 642444246