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9917427 = 313231631
BaseRepresentation
bin100101110101…
…001111110011
3200122212011010
4211311033303
510014324202
6552322003
7150203532
oct45651763
920585133
109917427
115664123
1233a3303
132093100
141462319
15d0d76c
hex9753f3

9917427 has 24 divisors (see below), whose sum is σ = 14803968. Its totient is φ = 5896800.

The previous prime is 9917419. The next prime is 9917429. The reversal of 9917427 is 7247199.

9917427 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9917427 - 23 = 9917419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9917429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15402 + ... + 16032.

It is an arithmetic number, because the mean of its divisors is an integer number (616832).

Almost surely, 29917427 is an apocalyptic number.

9917427 is a deficient number, since it is larger than the sum of its proper divisors (4886541).

9917427 is a wasteful number, since it uses less digits than its factorization.

9917427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 9917427 is about 3149.1946589565. The cubic root of 9917427 is about 214.8488355129.

The spelling of 9917427 in words is "nine million, nine hundred seventeen thousand, four hundred twenty-seven".

Divisors: 1 3 13 31 39 93 169 403 507 631 1209 1893 5239 8203 15717 19561 24609 58683 106639 254293 319917 762879 3305809 9917427