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9933 = 371143
BaseRepresentation
bin10011011001101
3111121220
42123031
5304213
6113553
740650
oct23315
914556
109933
117510
1258b9
1346a1
143897
152e23
hex26cd

9933 has 16 divisors (see below), whose sum is σ = 16896. Its totient is φ = 5040.

The previous prime is 9931. The next prime is 9941. The reversal of 9933 is 3399.

It is not a de Polignac number, because 9933 - 21 = 9931 is a prime.

It is a Curzon number.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 10 and base 11.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9931) 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, 210 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (1056).

29933 is an apocalyptic number.

It is an amenable number.

9933 is a deficient number, since it is larger than the sum of its proper divisors (6963).

9933 is a wasteful number, since it uses less digits than its factorization.

9933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 729, while the sum is 24.

The square root of 9933 is about 99.6644369873. The cubic root of 9933 is about 21.4961233320.

The spelling of 9933 in words is "nine thousand, nine hundred thirty-three".

Divisors: 1 3 7 11 21 33 43 77 129 231 301 473 903 1419 3311 9933