Search a number
-
+
42457363 = 132298663
BaseRepresentation
bin1010000111110…
…1100100010011
32221220001112221
42201331210103
541332113423
64114001511
71023611254
oct241754423
987801487
1042457363
1121a69933
1212276297
138a47200
1458d2b2b
153ad9e5d
hex287d913

42457363 has 12 divisors (see below), whose sum is σ = 47565360. Its totient is φ = 37835616.

The previous prime is 42457357. The next prime is 42457417. The reversal of 42457363 is 36375424.

42457363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42457363 - 213 = 42449171 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42457763) 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 11 ways as a sum of consecutive naturals, for example, 570 + ... + 9232.

It is an arithmetic number, because the mean of its divisors is an integer number (3963780).

Almost surely, 242457363 is an apocalyptic number.

42457363 is a deficient number, since it is larger than the sum of its proper divisors (5107997).

42457363 is a wasteful number, since it uses less digits than its factorization.

42457363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8705 counting only the distinct ones).

The product of its digits is 60480, while the sum is 34.

The square root of 42457363 is about 6515.9314760056. The cubic root of 42457363 is about 348.8598627852.

The spelling of 42457363 in words is "forty-two million, four hundred fifty-seven thousand, three hundred sixty-three".

Divisors: 1 13 29 169 377 4901 8663 112619 251227 1464047 3265951 42457363