Search a number
-
+
42816753 = 3272113221
BaseRepresentation
bin1010001101010…
…1010011110001
32222120022112200
42203111103301
541430114003
64125413413
71026636120
oct243252361
988508480
1042816753
1122194951
121240a269
138b41975
145987ab7
153b5b6a3
hex28d54f1

42816753 has 24 divisors (see below), whose sum is σ = 71038656. Its totient is φ = 24343200.

The previous prime is 42816703. The next prime is 42816769. The reversal of 42816753 is 35761824.

42816753 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 42816753 - 28 = 42816497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42816703) 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 23 ways as a sum of consecutive naturals, for example, 11683 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (2959944).

Almost surely, 242816753 is an apocalyptic number.

It is an amenable number.

42816753 is a deficient number, since it is larger than the sum of its proper divisors (28221903).

42816753 is a wasteful number, since it uses less digits than its factorization.

42816753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3442 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42816753 is about 6543.4511536344. The cubic root of 42816753 is about 349.8414329341.

The spelling of 42816753 in words is "forty-two million, eight hundred sixteen thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 3221 4431 9663 13293 22547 28989 67641 202923 679631 2038893 4757417 6116679 14272251 42816753