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40049617 is a prime number
BaseRepresentation
bin1001100011000…
…1101111010001
32210100201202011
42120301233101
540223041432
63550222521
7664262506
oct230615721
983321664
1040049617
1120674963
12114b4a41
1383b32ca
1454674ad
1537b1847
hex2631bd1

40049617 has 2 divisors, whose sum is σ = 40049618. Its totient is φ = 40049616.

The previous prime is 40049599. The next prime is 40049627. The reversal of 40049617 is 71694004.

40049617 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., 38489616 + 1560001 = 6204^2 + 1249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40049617 is a prime.

It is equal to p2436466 and since 40049617 and 2436466 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (40049627) 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, 20024808 + 20024809.

It is an arithmetic number, because the mean of its divisors is an integer number (20024809).

Almost surely, 240049617 is an apocalyptic number.

It is an amenable number.

40049617 is a deficient number, since it is larger than the sum of its proper divisors (1).

40049617 is an equidigital number, since it uses as much as digits as its factorization.

40049617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 40049617 is about 6328.4766729443. The cubic root of 40049617 is about 342.1365373685.

The spelling of 40049617 in words is "forty million, forty-nine thousand, six hundred seventeen".