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42335505 = 3252932441
BaseRepresentation
bin1010000101111…
…1110100010001
32221122212101200
42201133310101
541314214010
64111221413
71022563062
oct241376421
987585350
1042335505
1121996323
1212217869
138a038c4
1458a0569
153ab3cc0
hex285fd11

42335505 has 24 divisors (see below), whose sum is σ = 75914280. Its totient is φ = 21799680.

The previous prime is 42335483. The next prime is 42335507. The reversal of 42335505 is 50553324.

42335505 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 4 ways, for example, as 14107536 + 28227969 = 3756^2 + 5313^2 .

It is not a de Polignac number, because 42335505 - 215 = 42302737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42335507) 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, 14916 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (3163095).

Almost surely, 242335505 is an apocalyptic number.

42335505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42335505 is a deficient number, since it is larger than the sum of its proper divisors (33578775).

42335505 is a wasteful number, since it uses less digits than its factorization.

42335505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32481 (or 32478 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 42335505 is about 6506.5739832880. The cubic root of 42335505 is about 348.5257856615.

Adding to 42335505 its reverse (50553324), we get a palindrome (92888829).

The spelling of 42335505 in words is "forty-two million, three hundred thirty-five thousand, five hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 32441 97323 162205 291969 486615 940789 1459845 2822367 4703945 8467101 14111835 42335505