Search a number
-
+
42193749 = 3131081891
BaseRepresentation
bin1010000011110…
…1001101010101
32221101122221110
42200331031111
541300144444
64104205233
71021432563
oct240751525
987348843
1042193749
11218a9874
1212169819
138984220
145864a33
153a86cb9
hex283d355

42193749 has 8 divisors (see below), whose sum is σ = 60585952. Its totient is φ = 25965360.

The previous prime is 42193747. The next prime is 42193769. The reversal of 42193749 is 94739124.

42193749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 42193749 - 21 = 42193747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1081891 = 42193749 / (4 + 2 + 1 + 9 + 3 + 7 + 4 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42193741) 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, 540907 + ... + 540984.

It is an arithmetic number, because the mean of its divisors is an integer number (7573244).

Almost surely, 242193749 is an apocalyptic number.

It is an amenable number.

42193749 is a deficient number, since it is larger than the sum of its proper divisors (18392203).

42193749 is a wasteful number, since it uses less digits than its factorization.

42193749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081907.

The product of its digits is 54432, while the sum is 39.

The square root of 42193749 is about 6495.6715588151. The cubic root of 42193749 is about 348.1363499915.

The spelling of 42193749 in words is "forty-two million, one hundred ninety-three thousand, seven hundred forty-nine".

Divisors: 1 3 13 39 1081891 3245673 14064583 42193749