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33995142 = 2321999401
BaseRepresentation
bin1000000110101…
…1100110000110
32100222010120100
42001223212012
532200321032
63212344530
7561645126
oct201534606
970863510
1033995142
111820a065
12b475146
13707358c
14472cc86
152eb797c
hex206b986

33995142 has 24 divisors (see below), whose sum is σ = 77533560. Its totient is φ = 10735200.

The previous prime is 33995113. The next prime is 33995149. The reversal of 33995142 is 24159933.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33995097 and 33995106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33995149) 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 11 ways as a sum of consecutive naturals, for example, 49359 + ... + 50042.

It is an arithmetic number, because the mean of its divisors is an integer number (3230565).

Almost surely, 233995142 is an apocalyptic number.

33995142 is an abundant number, since it is smaller than the sum of its proper divisors (43538418).

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

33995142 is a wasteful number, since it uses less digits than its factorization.

33995142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99428 (or 99425 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 33995142 is about 5830.5353099008. The cubic root of 33995142 is about 323.9457499476.

It can be divided in two parts, 339 and 95142, that added together give a square (95481 = 3092).

The spelling of 33995142 in words is "thirty-three million, nine hundred ninety-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 99401 198802 298203 596406 894609 1789218 1888619 3777238 5665857 11331714 16997571 33995142