Search a number
-
+
68395782 = 23713192347
BaseRepresentation
bin1000001001110…
…10001100000110
311202200212101010
410010322030012
5120002131112
610441543050
71460232420
oct404721406
9152625333
1068395782
1135675844
121aaa4a86
13112295a0
149125810
15601063c
hex413a306

68395782 has 96 divisors (see below), whose sum is σ = 178198272. Its totient is φ = 17039808.

The previous prime is 68395759. The next prime is 68395783. The reversal of 68395782 is 28759386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68395783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196933 + ... + 197279.

It is an arithmetic number, because the mean of its divisors is an integer number (1856232).

Almost surely, 268395782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68395782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89099136).

68395782 is an abundant number, since it is smaller than the sum of its proper divisors (109802490).

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

68395782 is a wasteful number, since it uses less digits than its factorization.

68395782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 68395782 is about 8270.1742424208. The cubic root of 68395782 is about 408.9558639054.

It can be divided in two parts, 6839 and 5782, that added together give a palindrome (12621).

The spelling of 68395782 in words is "sixty-eight million, three hundred ninety-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 347 361 399 494 546 694 722 741 798 1041 1083 1482 1729 2082 2166 2429 2527 3458 4511 4693 4858 5054 5187 6593 7287 7581 9022 9386 10374 13186 13533 14079 14574 15162 19779 27066 28158 31577 32851 39558 46151 63154 65702 85709 92302 94731 98553 125267 138453 171418 189462 197106 250534 257127 276906 375801 514254 599963 751602 876869 1199926 1628471 1753738 1799889 2630607 3256942 3599778 4885413 5261214 9770826 11399297 22798594 34197891 68395782