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993939 = 31719489
BaseRepresentation
bin11110010101010010011
31212111102120
43302222103
5223301224
633145323
711306532
oct3625223
91774376
10993939
11619841
123bb243
1328a53b
141bc319
15149779
hexf2a93

993939 has 8 divisors (see below), whose sum is σ = 1403280. Its totient is φ = 623616.

The previous prime is 993919. The next prime is 993943. The reversal of 993939 is 939399.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 993939 - 25 = 993907 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 993939.

It is not an unprimeable number, because it can be changed into a prime (993919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9694 + ... + 9795.

It is an arithmetic number, because the mean of its divisors is an integer number (175410).

2993939 is an apocalyptic number.

993939 is a deficient number, since it is larger than the sum of its proper divisors (409341).

993939 is a wasteful number, since it uses less digits than its factorization.

993939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509.

The product of its digits is 59049, while the sum is 42.

The square root of 993939 is about 996.9648940660. The cubic root of 993939 is about 99.7975571120.

The spelling of 993939 in words is "nine hundred ninety-three thousand, nine hundred thirty-nine".

Divisors: 1 3 17 51 19489 58467 331313 993939