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82651040 = 2554331193
BaseRepresentation
bin1001110110100…
…10011110100000
312202112002220122
410323102132200
5132124313130
612111255412
72022344063
oct473223640
9182462818
1082651040
1142721a4a
122381a568
131417ac54
14ad968da
1573c92e5
hex4ed27a0

82651040 has 48 divisors (see below), whose sum is σ = 195878088. Its totient is φ = 32956416.

The previous prime is 82651013. The next prime is 82651043. The reversal of 82651040 is 4015628.

It can be written as a sum of positive squares in 4 ways, for example, as 50069776 + 32581264 = 7076^2 + 5708^2 .

It is not an unprimeable number, because it can be changed into a prime (82651043) 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 7 ways as a sum of consecutive naturals, for example, 68684 + ... + 69876.

Almost surely, 282651040 is an apocalyptic number.

82651040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82651040 is an abundant number, since it is smaller than the sum of its proper divisors (113227048).

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

82651040 is a wasteful number, since it uses less digits than its factorization.

82651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82651040 is about 9091.2617386147. The cubic root of 82651040 is about 435.5948878513.

Adding to 82651040 its reverse (4015628), we get a palindrome (86666668).

The spelling of 82651040 in words is "eighty-two million, six hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 433 866 1193 1732 2165 2386 3464 4330 4772 5965 6928 8660 9544 11930 13856 17320 19088 23860 34640 38176 47720 69280 95440 190880 516569 1033138 2066276 2582845 4132552 5165690 8265104 10331380 16530208 20662760 41325520 82651040