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82864386 = 232113711311
BaseRepresentation
bin1001111000001…
…10100100000010
312202220221120100
410330012210002
5132203130021
612120023230
72024223063
oct474064402
9182827510
1082864386
1142858270
1223901b16
13142240a7
14b01056a
15741c626
hex4f06902

82864386 has 48 divisors (see below), whose sum is σ = 201172608. Its totient is φ = 24429600.

The previous prime is 82864367. The next prime is 82864459. The reversal of 82864386 is 68346828.

It is a happy number.

It is a super-3 number, since 3×828643863 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671 + ... + 12981.

It is an arithmetic number, because the mean of its divisors is an integer number (4191096).

Almost surely, 282864386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82864386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100586304).

82864386 is an abundant number, since it is smaller than the sum of its proper divisors (118308222).

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

82864386 is a wasteful number, since it uses less digits than its factorization.

82864386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11367 (or 11364 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 82864386 is about 9102.9877512825. The cubic root of 82864386 is about 435.9693642027.

It can be divided in two parts, 82 and 864386, that added together give a palindrome (864468).

The spelling of 82864386 in words is "eighty-two million, eight hundred sixty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 11311 22622 33933 67866 101799 124421 203598 248842 373263 418507 746526 837014 1119789 1255521 2239578 2511042 3766563 4603577 7533126 9207154 13810731 27621462 41432193 82864386