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42507193 is a prime number
BaseRepresentation
bin1010001000100…
…1101110111001
32221222120220111
42202021232321
541340212233
64115024321
71024206451
oct242115671
987876814
1042507193
1121aa3313
121229b0a1
138a63ab1
145906d61
153ae9acd
hex2889bb9

42507193 has 2 divisors, whose sum is σ = 42507194. Its totient is φ = 42507192.

The previous prime is 42507181. The next prime is 42507211. The reversal of 42507193 is 39170524.

42507193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30173049 + 12334144 = 5493^2 + 3512^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42507193 is a prime.

It is a super-2 number, since 2×425071932 = 3613722913478498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42507133) 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, 21253596 + 21253597.

It is an arithmetic number, because the mean of its divisors is an integer number (21253597).

Almost surely, 242507193 is an apocalyptic number.

It is an amenable number.

42507193 is a deficient number, since it is larger than the sum of its proper divisors (1).

42507193 is an equidigital number, since it uses as much as digits as its factorization.

42507193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 42507193 is about 6519.7540597786. The cubic root of 42507193 is about 348.9962889894.

The spelling of 42507193 in words is "forty-two million, five hundred seven thousand, one hundred ninety-three".