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9006363 = 332314503
BaseRepresentation
bin100010010110…
…110100011011
3121221120102000
4202112310123
54301200423
6521012043
7136360422
oct42266433
917846360
109006363
1150a1683
123024023
131b34512
1412a62b9
15bcd843
hex896d1b

9006363 has 16 divisors (see below), whose sum is σ = 13923840. Its totient is φ = 5742792.

The previous prime is 9006359. The next prime is 9006373. The reversal of 9006363 is 3636009.

9006363 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9006363 - 22 = 9006359 is a prime.

It is a super-2 number, since 2×90063632 = 162229148975538, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6631 + ... + 7872.

It is an arithmetic number, because the mean of its divisors is an integer number (870240).

Almost surely, 29006363 is an apocalyptic number.

9006363 is a deficient number, since it is larger than the sum of its proper divisors (4917477).

9006363 is a wasteful number, since it uses less digits than its factorization.

9006363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535 (or 14529 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 9006363 is about 3001.0603126229. The cubic root of 9006363 is about 208.0573913993.

The spelling of 9006363 in words is "nine million, six thousand, three hundred sixty-three".

Divisors: 1 3 9 23 27 69 207 621 14503 43509 130527 333569 391581 1000707 3002121 9006363