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82378374 = 23132137593
BaseRepresentation
bin1001110100011…
…11111010000110
312202000020212220
410322033322012
5132042101444
612101353210
72020130121
oct472177206
9182006786
1082378374
1142556101
1223708806
13140b3b00
14ad253b8
157373619
hex4e8fe86

82378374 has 48 divisors (see below), whose sum is σ = 180010512. Its totient is φ = 25119744.

The previous prime is 82378369. The next prime is 82378381. The reversal of 82378374 is 47387328.

It is a congruent number.

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, 138622 + ... + 139214.

It is an arithmetic number, because the mean of its divisors is an integer number (3750219).

Almost surely, 282378374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82378374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90005256).

82378374 is an abundant number, since it is smaller than the sum of its proper divisors (97632138).

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

82378374 is a wasteful number, since it uses less digits than its factorization.

82378374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 82378374 is about 9076.2533018862. The cubic root of 82378374 is about 435.1153505694.

It can be divided in two parts, 823 and 78374, that added together give a palindrome (79197).

The spelling of 82378374 in words is "eighty-two million, three hundred seventy-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 137 169 274 338 411 507 593 822 1014 1186 1779 1781 3558 3562 5343 7709 10686 15418 23127 23153 46254 46306 69459 81241 100217 138918 162482 200434 243723 300651 487446 601302 1056133 2112266 3168399 6336798 13729729 27459458 41189187 82378374