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33478013 is a prime number
BaseRepresentation
bin111111110110…
…1010101111101
32022222212012102
41333231111331
532032244023
63153314445
7554362352
oct177552575
968885172
1033478013
1117996588
12b265a25
136c2209a
144636629
152e14628
hex1fed57d

33478013 has 2 divisors, whose sum is σ = 33478014. Its totient is φ = 33478012.

The previous prime is 33478009. The next prime is 33478061. The reversal of 33478013 is 31087433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28270489 + 5207524 = 5317^2 + 2282^2 .

It is a cyclic number.

It is not a de Polignac number, because 33478013 - 22 = 33478009 is a prime.

It is a super-2 number, since 2×334780132 = 2241554708856338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33478063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16739006 + 16739007.

It is an arithmetic number, because the mean of its divisors is an integer number (16739007).

Almost surely, 233478013 is an apocalyptic number.

It is an amenable number.

33478013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33478013 is an equidigital number, since it uses as much as digits as its factorization.

33478013 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 29.

The square root of 33478013 is about 5786.0187521300. The cubic root of 33478013 is about 322.2947451020.

The spelling of 33478013 in words is "thirty-three million, four hundred seventy-eight thousand, thirteen".