Search a number
-
+
82741542 = 231319311801
BaseRepresentation
bin1001110111010…
…00100100100110
312202200201001120
410323220210212
5132140212132
612113234410
72023201662
oct473504446
9182621046
1082741542
1142783a44
1223862a06
13141b01c0
14adbb8a2
1573e602c
hex4ee8926

82741542 has 64 divisors (see below), whose sum is σ = 193751040. Its totient is φ = 23328000.

The previous prime is 82741531. The next prime is 82741543. The reversal of 82741542 is 24514728.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82741543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45042 + ... + 46842.

It is an arithmetic number, because the mean of its divisors is an integer number (3027360).

Almost surely, 282741542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82741542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96875520).

82741542 is an abundant number, since it is smaller than the sum of its proper divisors (111009498).

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

82741542 is a wasteful number, since it uses less digits than its factorization.

82741542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869.

The product of its digits is 17920, while the sum is 33.

The square root of 82741542 is about 9096.2377937255. The cubic root of 82741542 is about 435.7538204283.

The spelling of 82741542 in words is "eighty-two million, seven hundred forty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 741 806 1178 1209 1482 1767 1801 2418 3534 3602 5403 7657 10806 15314 22971 23413 34219 45942 46826 55831 68438 70239 102657 111662 140478 167493 205314 334986 444847 725803 889694 1060789 1334541 1451606 2121578 2177409 2669082 3182367 4354818 6364734 13790257 27580514 41370771 82741542