Search a number
-
+
82010250 = 23253741127
BaseRepresentation
bin1001110001101…
…10000010001010
312201022112220200
410320312002022
5131443312000
612045433030
72014034640
oct470660212
9181275820
1082010250
1142324573
122356b776
1313cb539a
14ac6b190
1572ee500
hex4e3608a

82010250 has 192 divisors, whose sum is σ = 261660672. Its totient is φ = 18144000.

The previous prime is 82010237. The next prime is 82010263. The reversal of 82010250 is 5201028.

It is an interprime number because it is at equal distance from previous prime (82010237) and next prime (82010263).

It is a super-2 number, since 2×820102502 = 13451362210125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645687 + ... + 645813.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816).

Almost surely, 282010250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82010250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130830336).

82010250 is an abundant number, since it is smaller than the sum of its proper divisors (179650422).

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

82010250 is a wasteful number, since it uses less digits than its factorization.

82010250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 82010250 is about 9055.9510820234. The cubic root of 82010250 is about 434.4662498289.

Adding to 82010250 its reverse (5201028), we get a palindrome (87211278).

The spelling of 82010250 in words is "eighty-two million, ten thousand, two hundred fifty".