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9002493 = 323141787
BaseRepresentation
bin100010010101…
…110111111101
3121221101002200
4202111313331
54301034433
6520542113
7136343223
oct42256775
917841080
109002493
115099785
123021939
131b32826
1412a4b13
15bcc613
hex895dfd

9002493 has 24 divisors (see below), whose sum is σ = 13767936. Its totient is φ = 5659200.

The previous prime is 9002489. The next prime is 9002501. The reversal of 9002493 is 3942009.

9002493 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 9002493 - 22 = 9002489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002293) 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, 11046 + ... + 11832.

It is an arithmetic number, because the mean of its divisors is an integer number (573664).

Almost surely, 29002493 is an apocalyptic number.

9002493 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

9002493 is a deficient number, since it is larger than the sum of its proper divisors (4765443).

9002493 is a wasteful number, since it uses less digits than its factorization.

9002493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9002493 is about 3000.4154712306. The cubic root of 9002493 is about 208.0275866394.

The spelling of 9002493 in words is "nine million, two thousand, four hundred ninety-three".

Divisors: 1 3 9 31 41 93 123 279 369 787 1271 2361 3813 7083 11439 24397 32267 73191 96801 219573 290403 1000277 3000831 9002493