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40135633 is a prime number
BaseRepresentation
bin1001100100011…
…0101111010001
32210112002201221
42121012233101
540233320013
63552125041
7665101336
oct231065721
983462657
1040135633
112072354a
1211536781
1384134c5
14548a98d
1537cc08d
hex2646bd1

40135633 has 2 divisors, whose sum is σ = 40135634. Its totient is φ = 40135632.

The previous prime is 40135609. The next prime is 40135651. The reversal of 40135633 is 33653104.

40135633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29844369 + 10291264 = 5463^2 + 3208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40135633 is a prime.

It is a super-2 number, since 2×401356332 = 3221738072621378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40135598 and 40135607.

It is not a weakly prime, because it can be changed into another prime (40135663) 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 as a sum of consecutive naturals, namely, 20067816 + 20067817.

It is an arithmetic number, because the mean of its divisors is an integer number (20067817).

Almost surely, 240135633 is an apocalyptic number.

It is an amenable number.

40135633 is a deficient number, since it is larger than the sum of its proper divisors (1).

40135633 is an equidigital number, since it uses as much as digits as its factorization.

40135633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 40135633 is about 6335.2689761367. The cubic root of 40135633 is about 342.3813018629.

Adding to 40135633 its reverse (33653104), we get a palindrome (73788737).

The spelling of 40135633 in words is "forty million, one hundred thirty-five thousand, six hundred thirty-three".