Search a number
42823936 = 284092
BaseRepresentation
bin1010001101011…
…1000100000000
32222120200101201
42203113010000
541430331221
64125510544
71026666061
oct243270400
988520351
1042823936
112219a291
1212412454
138b4500c
14598a568
153b5d891
hex28d7100

42823936 has 27 divisors (see below), whose sum is σ = 85690101. Its totient is φ = 21359616.

The previous prime is 42823931. The next prime is 42823939. The reversal of 42823936 is 63932824.

It can be divided in two parts, 428239 and 36, that added together give a triangular number (428275 = T925).

The square root of 42823936 is 6544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39137536 + 3686400 = 6256^2 + 1920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42823895 and 42823904.

It is not an unprimeable number, because it can be changed into a prime (42823931) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 104500 + ... + 104908.

Almost surely, 242823936 is an apocalyptic number.

42823936 is the 6544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42823936

42823936 is an abundant number, since it is smaller than the sum of its proper divisors (42866165).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42823936 is an frugal number, since it uses more digits than its factorization.

42823936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 411 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The cubic root of 42823936 is about 349.8609951407.

The spelling of 42823936 in words is "forty-two million, eight hundred twenty-three thousand, nine hundred thirty-six".