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73253933 is a prime number
BaseRepresentation
bin1000101110111…
…00010000101101
312002211200111122
410113130100231
5122223111213
611134030325
71546435214
oct427342055
9162750448
1073253933
1138393845
12206483a5
131223a92c
149a2c07b
15666ed08
hex45dc42d

73253933 has 2 divisors, whose sum is σ = 73253934. Its totient is φ = 73253932.

The previous prime is 73253927. The next prime is 73253959. The reversal of 73253933 is 33935237.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73222249 + 31684 = 8557^2 + 178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73253933 is a prime.

It is a super-2 number, since 2×732539332 = 10732277399936978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73253893 and 73253902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73253923) 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, 36626966 + 36626967.

It is an arithmetic number, because the mean of its divisors is an integer number (36626967).

Almost surely, 273253933 is an apocalyptic number.

It is an amenable number.

73253933 is a deficient number, since it is larger than the sum of its proper divisors (1).

73253933 is an equidigital number, since it uses as much as digits as its factorization.

73253933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51030, while the sum is 35.

The square root of 73253933 is about 8558.8511495410. The cubic root of 73253933 is about 418.4179579740.

The spelling of 73253933 in words is "seventy-three million, two hundred fifty-three thousand, nine hundred thirty-three".