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9004842 = 2327117389
BaseRepresentation
bin100010010110…
…011100101010
3121221111022200
4202112130222
54301123332
6521001030
7136353120
oct42263452
917844280
109004842
1150a0520
123023176
131b33912
1412a5910
15bcd17c
hex89672a

9004842 has 96 divisors (see below), whose sum is σ = 24935040. Its totient is φ = 2280960.

The previous prime is 9004829. The next prime is 9004843. The reversal of 9004842 is 2484009.

It is not an unprimeable number, because it can be changed into a prime (9004843) 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 47 ways as a sum of consecutive naturals, for example, 101134 + ... + 101222.

It is an arithmetic number, because the mean of its divisors is an integer number (259740).

Almost surely, 29004842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9004842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467520).

9004842 is an abundant number, since it is smaller than the sum of its proper divisors (15930198).

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

9004842 is a wasteful number, since it uses less digits than its factorization.

9004842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9004842 is about 3000.8068914877. The cubic root of 9004842 is about 208.0456784541.

The spelling of 9004842 in words is "nine million, four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 89 99 126 146 154 178 198 219 231 267 438 462 511 534 623 657 693 801 803 979 1022 1246 1314 1386 1533 1602 1606 1869 1958 2409 2937 3066 3738 4599 4818 5607 5621 5874 6497 6853 7227 8811 9198 11214 11242 12994 13706 14454 16863 17622 19491 20559 33726 38982 41118 45479 50589 58473 61677 71467 90958 101178 116946 123354 136437 142934 214401 272874 409311 428802 500269 643203 818622 1000538 1286406 1500807 3001614 4502421 9004842