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9917313 = 37472253
BaseRepresentation
bin100101110101…
…001110000001
3200122211222220
4211311032001
510014323223
6552321253
7150203310
oct45651601
920584886
109917313
11566402a
1233a3229
132093043
141462277
15d0d6e3
hex975381

9917313 has 8 divisors (see below), whose sum is σ = 15112128. Its totient is φ = 5667024.

The previous prime is 9917309. The next prime is 9917317. The reversal of 9917313 is 3137199.

It is an interprime number because it is at equal distance from previous prime (9917309) and next prime (9917317).

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

It is not a de Polignac number, because 9917313 - 22 = 9917309 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (9917317) 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, 236106 + ... + 236147.

It is an arithmetic number, because the mean of its divisors is an integer number (1889016).

Almost surely, 29917313 is an apocalyptic number.

It is an amenable number.

9917313 is a deficient number, since it is larger than the sum of its proper divisors (5194815).

9917313 is a wasteful number, since it uses less digits than its factorization.

9917313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472263.

The product of its digits is 5103, while the sum is 33.

The square root of 9917313 is about 3149.1765590389. The cubic root of 9917313 is about 214.8480122866.

The spelling of 9917313 in words is "nine million, nine hundred seventeen thousand, three hundred thirteen".

Divisors: 1 3 7 21 472253 1416759 3305771 9917313