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82000000 = 275641
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.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 320 328 400 410 500 625 640 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3125 3200 3280 4000 4100 5000 5125 5248 6250 6560 8000 8200 10000 10250 12500 13120 15625 16000 16400 20000 20500 25000 25625 26240 31250 32800 40000 41000 50000 51250 62500 65600 80000 82000 100000 102500 125000 128125 131200 164000 200000 205000 250000 256250 328000 400000 410000 500000 512500 640625 656000 820000 1000000 1025000 1281250 1640000 2000000 2050000 2562500 3280000 4100000 5125000 8200000 10250000 16400000 20500000 41000000 82000000