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42461393 = 1317192133
BaseRepresentation
bin1010000111111…
…0100011010001
32221220021002012
42201332203101
541332231033
64114032305
71023626102
oct241764321
987807065
1042461393
1121a71967
1212278695
138a48cb0
1458d43a9
153adb248
hex287e8d1

42461393 has 8 divisors (see below), whose sum is σ = 48417768. Its totient is φ = 36889344.

The previous prime is 42461387. The next prime is 42461417. The reversal of 42461393 is 39316424.

42461393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17581249 + 24880144 = 4193^2 + 4988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42461393 - 218 = 42199249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42461383) 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 in 7 ways as a sum of consecutive naturals, for example, 95846 + ... + 96287.

It is an arithmetic number, because the mean of its divisors is an integer number (6052221).

Almost surely, 242461393 is an apocalyptic number.

It is an amenable number.

42461393 is a deficient number, since it is larger than the sum of its proper divisors (5956375).

42461393 is a wasteful number, since it uses less digits than its factorization.

42461393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192163.

The product of its digits is 15552, while the sum is 32.

The square root of 42461393 is about 6516.2407107166. The cubic root of 42461393 is about 348.8709002172.

The spelling of 42461393 in words is "forty-two million, four hundred sixty-one thousand, three hundred ninety-three".

Divisors: 1 13 17 221 192133 2497729 3266261 42461393