Search a number
-
+
9005238 = 2321145481
BaseRepresentation
bin100010010110…
…100010110110
3121221111212100
4202112202312
54301131423
6521002530
7136354224
oct42264266
917844770
109005238
1150a0850
123023446
131b33b58
1412a5b14
15bcd343
hex8968b6

9005238 has 24 divisors (see below), whose sum is σ = 21285576. Its totient is φ = 2728800.

The previous prime is 9005237. The next prime is 9005267. The reversal of 9005238 is 8325009.

It is a super-2 number, since 2×90052382 = 162188622873288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005233) 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 11 ways as a sum of consecutive naturals, for example, 22543 + ... + 22938.

It is an arithmetic number, because the mean of its divisors is an integer number (886899).

Almost surely, 29005238 is an apocalyptic number.

9005238 is an abundant number, since it is smaller than the sum of its proper divisors (12280338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9005238 is a wasteful number, since it uses less digits than its factorization.

9005238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45500 (or 45497 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9005238 is about 3000.8728730154. The cubic root of 9005238 is about 208.0487281053.

The spelling of 9005238 in words is "nine million, five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 45481 90962 136443 272886 409329 500291 818658 1000582 1500873 3001746 4502619 9005238