Search a number
-
+
33738013 = 173164019
BaseRepresentation
bin1000000010110…
…0110100011101
32100111001212001
42000230310131
532114104023
63203042301
7556524361
oct200546435
970431761
1033738013
1118053961
12b370391
136cb352a
1446a32a1
152e666ad
hex202cd1d

33738013 has 8 divisors (see below), whose sum is σ = 36875520. Its totient is φ = 30728640.

The previous prime is 33738011. The next prime is 33738037. The reversal of 33738013 is 31083733.

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 33738013 - 21 = 33738011 is a prime.

It is a super-2 number, since 2×337380132 = 2276507042376338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33738011) 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 7 ways as a sum of consecutive naturals, for example, 31483 + ... + 32536.

It is an arithmetic number, because the mean of its divisors is an integer number (4609440).

Almost surely, 233738013 is an apocalyptic number.

It is an amenable number.

33738013 is a deficient number, since it is larger than the sum of its proper divisors (3137507).

33738013 is a wasteful number, since it uses less digits than its factorization.

33738013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64067.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 33738013 is about 5808.4432509925. The cubic root of 33738013 is about 323.1269394060.

The spelling of 33738013 in words is "thirty-three million, seven hundred thirty-eight thousand, thirteen".

Divisors: 1 17 31 527 64019 1088323 1984589 33738013