Search a number
-
+
42713333 = 1317211369
BaseRepresentation
bin1010001011110…
…0000011110101
32222101001200022
42202330003311
541413311313
64123254525
71026025445
oct242740365
988331608
1042713333
1122124183
121237a445
138b06880
14595c125
153b3ac08
hex28bc0f5

42713333 has 12 divisors (see below), whose sum is σ = 48868260. Its totient is φ = 37105152.

The previous prime is 42713287. The next prime is 42713339. The reversal of 42713333 is 33331724.

42713333 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 6 ways, for example, as 813604 + 41899729 = 902^2 + 6473^2 .

It is not a de Polignac number, because 42713333 - 26 = 42713269 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42713339) 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, 1928 + ... + 9441.

It is an arithmetic number, because the mean of its divisors is an integer number (4072355).

Almost surely, 242713333 is an apocalyptic number.

It is an amenable number.

42713333 is a deficient number, since it is larger than the sum of its proper divisors (6154927).

42713333 is a wasteful number, since it uses less digits than its factorization.

42713333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11399 counting only the distinct ones).

The product of its digits is 4536, while the sum is 26.

The square root of 42713333 is about 6535.5438182297. The cubic root of 42713333 is about 349.5595357176.

The spelling of 42713333 in words is "forty-two million, seven hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 13 17 221 289 3757 11369 147797 193273 2512549 3285641 42713333