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33987053 = 378910321
BaseRepresentation
bin1000000110100…
…1100111101101
32100221201110202
42001221213231
532200041203
63212243245
7561612422
oct201514755
970851422
1033987053
1118203a81
12b470525
13706c9a9
144729d49
152eb5388
hex20699ed

33987053 has 8 divisors (see below), whose sum is σ = 35301240. Its totient is φ = 32693760.

The previous prime is 33987017. The next prime is 33987059. The reversal of 33987053 is 35078933.

33987053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7382089 + 26604964 = 2717^2 + 5158^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33987053 - 26 = 33986989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33986998 and 33987016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33987059) 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 7 ways as a sum of consecutive naturals, for example, 1868 + ... + 8453.

It is an arithmetic number, because the mean of its divisors is an integer number (4412655).

Almost surely, 233987053 is an apocalyptic number.

It is an amenable number.

33987053 is a deficient number, since it is larger than the sum of its proper divisors (1314187).

33987053 is a wasteful number, since it uses less digits than its factorization.

33987053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 33987053 is about 5829.8415930452. The cubic root of 33987053 is about 323.9200540699.

The spelling of 33987053 in words is "thirty-three million, nine hundred eighty-seven thousand, fifty-three".

Divisors: 1 37 89 3293 10321 381877 918569 33987053