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BaseRepresentation
bin1001110001100…
…11100010000000
312201022000212001
410320303202000
5131443000000
612045313344
72013663025
oct470634200
9181260761
1082000000
11423178a5
1223565854
1313cb0814
14ac6754c
1572eb46a
hex4e33880

82000000 has 112 divisors (see below), whose sum is σ = 209177010. Its totient is φ = 32000000.

The previous prime is 81999997. The next prime is 82000031. The reversal of 82000000 is 28.

Adding to 82000000 its reverse (28), we get a palindrome (82000028).

It can be divided in two parts, 8 and 2000000, that multiplied together give a square (16000000 = 40002).

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 65157184 + 16842816 = 8072^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999980 + ... + 2000020.

Almost surely, 282000000 is an apocalyptic number.

82000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104588505).

82000000 is an abundant number, since it is smaller than the sum of its proper divisors (127177010).

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

82000000 is an frugal number, since it uses more digits than its factorization.

82000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 82000000 is about 9055.3851381374. The cubic root of 82000000 is about 434.4481485769.

The spelling of 82000000 in words is "eighty-two million", and thus it is an aban number and an uban number.