Search a number
-
+
82426260 = 22357229857
BaseRepresentation
bin1001110100110…
…11100110010100
312202002200120110
410322123212110
5132100120020
612102403020
72020416540
oct472334624
9182080513
1082426260
1142589084
1223730470
13140cc847
14ad38a20
1573828e0
hex4e9b994

82426260 has 96 divisors (see below), whose sum is σ = 265224960. Its totient is φ = 18736128.

The previous prime is 82426171. The next prime is 82426291. The reversal of 82426260 is 6262428.

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

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, 95752 + ... + 96608.

It is an arithmetic number, because the mean of its divisors is an integer number (2762760).

Almost surely, 282426260 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 82426260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132612480).

82426260 is an abundant number, since it is smaller than the sum of its proper divisors (182798700).

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

82426260 is a wasteful number, since it uses less digits than its factorization.

82426260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82426260 is about 9078.8909014262. The cubic root of 82426260 is about 435.1996441232.

Adding to 82426260 its reverse (6262428), we get a palindrome (88688688).

The spelling of 82426260 in words is "eighty-two million, four hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 229 420 458 687 857 916 1145 1374 1603 1714 2290 2571 2748 3206 3428 3435 4285 4580 4809 5142 5999 6412 6870 8015 8570 9618 10284 11998 12855 13740 16030 17140 17997 19236 23996 24045 25710 29995 32060 35994 48090 51420 59990 71988 89985 96180 119980 179970 196253 359940 392506 588759 785012 981265 1177518 1373771 1962530 2355036 2747542 2943795 3925060 4121313 5495084 5887590 6868855 8242626 11775180 13737710 16485252 20606565 27475420 41213130 82426260