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33428257 is a prime number
BaseRepresentation
bin111111110000…
…1001100100001
32022220022221121
41333201030201
532024201012
63152252241
7554064322
oct177411441
968808847
1033428257
1117962165
12b241081
136c05545
144622449
152e04a07
hex1fe1321

33428257 has 2 divisors, whose sum is σ = 33428258. Its totient is φ = 33428256.

The previous prime is 33428251. The next prime is 33428281. The reversal of 33428257 is 75282433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20439441 + 12988816 = 4521^2 + 3604^2 .

It is an emirp because it is prime and its reverse (75282433) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33428257 is a prime.

It is a super-2 number, since 2×334282572 = 2234896732116098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33428251) 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 as a sum of consecutive naturals, namely, 16714128 + 16714129.

It is an arithmetic number, because the mean of its divisors is an integer number (16714129).

Almost surely, 233428257 is an apocalyptic number.

It is an amenable number.

33428257 is a deficient number, since it is larger than the sum of its proper divisors (1).

33428257 is an equidigital number, since it uses as much as digits as its factorization.

33428257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 34.

The square root of 33428257 is about 5781.7174783969. The cubic root of 33428257 is about 322.1349979833.

The spelling of 33428257 in words is "thirty-three million, four hundred twenty-eight thousand, two hundred fifty-seven".