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33036966 = 2322696823
BaseRepresentation
bin111111000000…
…1101010100110
32022011110012100
41332001222212
531424140331
63140032530
7550544454
oct176015246
968143170
1033036966
1117715186
12b092746
136ac9401
14455d9d4
152d78ae6
hex1f81aa6

33036966 has 24 divisors (see below), whose sum is σ = 71856720. Its totient is φ = 10969776.

The previous prime is 33036961. The next prime is 33036989. The reversal of 33036966 is 66963033.

It is a super-2 number, since 2×330369662 = 2182882244970312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33036966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33036961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1431 + ... + 8253.

It is an arithmetic number, because the mean of its divisors is an integer number (2994030).

Almost surely, 233036966 is an apocalyptic number.

33036966 is an abundant number, since it is smaller than the sum of its proper divisors (38819754).

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

33036966 is a wasteful number, since it uses less digits than its factorization.

33036966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 33036966 is about 5747.7792233175. The cubic root of 33036966 is about 320.8731556949.

Adding to 33036966 its reverse (66963033), we get a palindrome (99999999).

The spelling of 33036966 in words is "thirty-three million, thirty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 6823 13646 20469 40938 61407 122814 1835387 3670774 5506161 11012322 16518483 33036966