Search a number
-
+
42835604 = 2272218549
BaseRepresentation
bin1010001101100…
…1111010010100
32222121021101212
42203121322110
541431214404
64130040552
71030045100
oct243317224
988537355
1042835604
11221a8029
1212419158
138b4a416
145990900
153b6206e
hex28d9e94

42835604 has 18 divisors (see below), whose sum is σ = 87201450. Its totient is φ = 18358032.

The previous prime is 42835589. The next prime is 42835609. The reversal of 42835604 is 40653824.

42835604 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 only one way, i.e., 32467204 + 10368400 = 5698^2 + 3220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42835609) 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 5 ways as a sum of consecutive naturals, for example, 109079 + ... + 109470.

It is an arithmetic number, because the mean of its divisors is an integer number (4844525).

Almost surely, 242835604 is an apocalyptic number.

It is an amenable number.

42835604 is an abundant number, since it is smaller than the sum of its proper divisors (44365846).

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

42835604 is a wasteful number, since it uses less digits than its factorization.

42835604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218567 (or 218558 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 42835604 is about 6544.8914429500. The cubic root of 42835604 is about 349.8927671494.

The spelling of 42835604 in words is "forty-two million, eight hundred thirty-five thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 218549 437098 874196 1529843 3059686 6119372 10708901 21417802 42835604