Search a number
-
+
33003981 = 3210335603
BaseRepresentation
bin111110111100…
…1100111001101
32022002202221200
41331321213031
531422111411
63135220113
7550346343
oct175714715
968082850
1033003981
11176a241a
12b077639
136ab73aa
144551993
152d6de56
hex1f799cd

33003981 has 12 divisors (see below), whose sum is σ = 48136608. Its totient is φ = 21788424.

The previous prime is 33003977. The next prime is 33003983. The reversal of 33003981 is 18930033.

It is not a de Polignac number, because 33003981 - 22 = 33003977 is a prime.

It is a super-2 number, since 2×330039812 = 2178525523696722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33003983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16875 + ... + 18728.

It is an arithmetic number, because the mean of its divisors is an integer number (4011384).

Almost surely, 233003981 is an apocalyptic number.

It is an amenable number.

33003981 is a deficient number, since it is larger than the sum of its proper divisors (15132627).

33003981 is a wasteful number, since it uses less digits than its factorization.

33003981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35712 (or 35709 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 33003981 is about 5744.9091376627. The cubic root of 33003981 is about 320.7663306569.

The spelling of 33003981 in words is "thirty-three million, three thousand, nine hundred eighty-one".

Divisors: 1 3 9 103 309 927 35603 106809 320427 3667109 11001327 33003981