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40212512 = 25192592
BaseRepresentation
bin1001100101100…
…1100000100000
32210200000012022
42121121200200
540243300022
63553521012
7665541434
oct231314040
983600168
1040212512
112077628a
1211573168
13843c4b2
1454aa9c4
1537e4c42
hex2659820

40212512 has 54 divisors (see below), whose sum is σ = 84994623. Its totient is φ = 18725184.

The previous prime is 40212511. The next prime is 40212521. The reversal of 40212512 is 21521204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 20106256 + 20106256 = 4484^2 + 4484^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4484.

It is a super-2 number, since 2×402125122 = 3234092242700288, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40212511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 681539 + ... + 681597.

Almost surely, 240212512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212512

40212512 is an abundant number, since it is smaller than the sum of its proper divisors (44782111).

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

40212512 is an equidigital number, since it uses as much as digits as its factorization.

40212512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 40212512 is about 6341.3336136810. Note that the first 3 decimals coincide. The cubic root of 40212512 is about 342.5997706036.

Adding to 40212512 its reverse (21521204), we get a palindrome (61733716).

The spelling of 40212512 in words is "forty million, two hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 361 472 608 722 944 1121 1444 1888 2242 2888 3481 4484 5776 6962 8968 11552 13924 17936 21299 27848 35872 42598 55696 66139 85196 111392 132278 170392 264556 340784 529112 681568 1058224 1256641 2116448 2513282 5026564 10053128 20106256 40212512