Search a number
-
+
81850338 = 234539533
BaseRepresentation
bin1001110000011…
…10111111100010
312201000102120000
410320032333202
5131423202323
612042200430
72012500503
oct470167742
9181012500
1081850338
1142225409
12234b3116
1313c5a66b
14ac28baa
1572bbe43
hex4e0efe2

81850338 has 40 divisors (see below), whose sum is σ = 186885468. Its totient is φ = 26765856.

The previous prime is 81850331. The next prime is 81850343. The reversal of 81850338 is 83305818.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81486729 + 363609 = 9027^2 + 603^2 .

It is not an unprimeable number, because it can be changed into a prime (81850331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3820 + ... + 13352.

Almost surely, 281850338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81850338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93442734).

81850338 is an abundant number, since it is smaller than the sum of its proper divisors (105035130).

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

81850338 is a wasteful number, since it uses less digits than its factorization.

81850338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9591 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 81850338 is about 9047.1176625487. The cubic root of 81850338 is about 434.1836771289.

The spelling of 81850338 in words is "eighty-one million, eight hundred fifty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 9533 19066 28599 57198 85797 171594 257391 505249 514782 772173 1010498 1515747 1544346 3031494 4547241 9094482 13641723 27283446 40925169 81850338