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40208281 = 1723732
BaseRepresentation
bin1001100101100…
…0011110011001
32210122210101121
42121120132121
540243131111
63553445241
7665523211
oct231303631
983583347
1040208281
1120773093
1211570821
13843a5a9
1454a9241
1537e3871
hex2658799

40208281 has 9 divisors (see below), whose sum is σ = 42827421. Its totient is φ = 37741632.

The previous prime is 40208263. The next prime is 40208299. The reversal of 40208281 is 18280204.

The square root of 40208281 is 6341.

It is a perfect power (a square), and thus also a powerful number.

40208281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40208263) and next prime (40208299).

It can be written as a sum of positive squares in 4 ways, for example, as 4447881 + 35760400 = 2109^2 + 5980^2 .

It is not a de Polignac number, because 40208281 - 217 = 40077209 is a prime.

It is a super-2 number, since 2×402082812 = 3233411721949922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40208221) 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 8 ways as a sum of consecutive naturals, for example, 107611 + ... + 107983.

Almost surely, 240208281 is an apocalyptic number.

40208281 is the 6341-st square number.

40208281 is the 3171-st centered octagonal number.

It is an amenable number.

40208281 is a deficient number, since it is larger than the sum of its proper divisors (2619140).

40208281 is an frugal number, since it uses more digits than its factorization.

40208281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 40208281 is about 342.5877545220.

Multiplying 40208281 by its sum of digits (25), we get a square (1005207025 = 317052).

Multiplying 40208281 by its product of nonzero digits (1024), we get a square (41173279744 = 2029122).

Adding to 40208281 its reverse (18280204), we get a palindrome (58488485).

The spelling of 40208281 in words is "forty million, two hundred eight thousand, two hundred eighty-one".

Divisors: 1 17 289 373 6341 107797 139129 2365193 40208281