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33472393 is a prime number
BaseRepresentation
bin111111110101…
…1111110001001
32022222120111021
41333223332021
532032104033
63153232441
7554340103
oct177537611
968876437
1033472393
1117992339
12b262721
136c1c666
144634573
152e12b2d
hex1febf89

33472393 has 2 divisors, whose sum is σ = 33472394. Its totient is φ = 33472392.

The previous prime is 33472363. The next prime is 33472423. The reversal of 33472393 is 39327433.

It is a balanced prime because it is at equal distance from previous prime (33472363) and next prime (33472423).

It can be written as a sum of positive squares in only one way, i.e., 22202944 + 11269449 = 4712^2 + 3357^2 .

It is a cyclic number.

It is not a de Polignac number, because 33472393 - 213 = 33464201 is a prime.

It is a super-2 number, since 2×334723932 = 2240802186292898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33472333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16736196 + 16736197.

It is an arithmetic number, because the mean of its divisors is an integer number (16736197).

Almost surely, 233472393 is an apocalyptic number.

It is an amenable number.

33472393 is a deficient number, since it is larger than the sum of its proper divisors (1).

33472393 is an equidigital number, since it uses as much as digits as its factorization.

33472393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40824, while the sum is 34.

The square root of 33472393 is about 5785.5330782911. The cubic root of 33472393 is about 322.2767094056.

It can be divided in two parts, 334 and 72393, that added together give a palindrome (72727).

The spelling of 33472393 in words is "thirty-three million, four hundred seventy-two thousand, three hundred ninety-three".