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9242585 = 511215277
BaseRepresentation
bin100011010000…
…011111011001
3122101120102222
4203100133121
54331230320
6530033425
7141363212
oct43203731
918346388
109242585
115243100
123118875
131bb7bb1
141328409
15c28825
hex8d07d9

9242585 has 12 divisors (see below), whose sum is σ = 12191844. Its totient is φ = 6721440.

The previous prime is 9242581. The next prime is 9242587. The reversal of 9242585 is 5852429.

It is a happy number.

9242585 is nontrivially palindromic in base 13.

9242585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1860496 + 7382089 = 1364^2 + 2717^2 .

It is not a de Polignac number, because 9242585 - 22 = 9242581 is a prime.

It is a d-powerful number, because it can be written as 97 + 2 + 42 + 222 + 52 + 86 + 55 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7034 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (1015987).

Almost surely, 29242585 is an apocalyptic number.

It is an amenable number.

9242585 is a deficient number, since it is larger than the sum of its proper divisors (2949259).

9242585 is a wasteful number, since it uses less digits than its factorization.

9242585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15293 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 9242585 is about 3040.1620022624. The cubic root of 9242585 is about 209.8607164078.

The spelling of 9242585 in words is "nine million, two hundred forty-two thousand, five hundred eighty-five".

Divisors: 1 5 11 55 121 605 15277 76385 168047 840235 1848517 9242585