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33668852 = 2273179491
BaseRepresentation
bin1000000001101…
…1111011110100
32100100112222112
42000123323310
532104400402
63201350152
7556115630
oct200337364
970315875
1033668852
11180069a8
12b338358
136c8abc9
144685dc0
152e50e52
hex201bef4

33668852 has 48 divisors (see below), whose sum is σ = 70533120. Its totient is φ = 13759200.

The previous prime is 33668851. The next prime is 33668861. The reversal of 33668852 is 25886633.

33668852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×336688522 = 2267183189995808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668851) 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 15 ways as a sum of consecutive naturals, for example, 68327 + ... + 68817.

It is an arithmetic number, because the mean of its divisors is an integer number (1469440).

Almost surely, 233668852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33668852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35266560).

33668852 is an abundant number, since it is smaller than the sum of its proper divisors (36864268).

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

33668852 is a wasteful number, since it uses less digits than its factorization.

33668852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 33668852 is about 5802.4867083002. The cubic root of 33668852 is about 322.9059911023.

The spelling of 33668852 in words is "thirty-three million, six hundred sixty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 62 79 124 158 217 316 434 491 553 868 982 1106 1964 2212 2449 3437 4898 6874 9796 13748 15221 17143 30442 34286 38789 60884 68572 77578 106547 155156 213094 271523 426188 543046 1086092 1202459 2404918 4809836 8417213 16834426 33668852