Search a number
-
+
33742421 is a prime number
BaseRepresentation
bin1000000010110…
…1111001010101
32100111021220022
42000231321111
532114224141
63203114525
7556543256
oct200557125
970437808
1033742421
11180571a9
12b372a45
136cb553b
1446a4b2d
152e67b4b
hex202de55

33742421 has 2 divisors, whose sum is σ = 33742422. Its totient is φ = 33742420.

The previous prime is 33742417. The next prime is 33742441. The reversal of 33742421 is 12424733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29311396 + 4431025 = 5414^2 + 2105^2 .

It is a cyclic number.

It is not a de Polignac number, because 33742421 - 22 = 33742417 is a prime.

It is a super-2 number, since 2×337424212 = 2277101949882482, which contains 22 as substring.

It is equal to p2074508 and since 33742421 and 2074508 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33742441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16871210 + 16871211.

It is an arithmetic number, because the mean of its divisors is an integer number (16871211).

Almost surely, 233742421 is an apocalyptic number.

It is an amenable number.

33742421 is a deficient number, since it is larger than the sum of its proper divisors (1).

33742421 is an equidigital number, since it uses as much as digits as its factorization.

33742421 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 26.

The square root of 33742421 is about 5808.8226862248. The cubic root of 33742421 is about 323.1410113819.

The spelling of 33742421 in words is "thirty-three million, seven hundred forty-two thousand, four hundred twenty-one".