Search a number
-
+
42433335 = 335783541
BaseRepresentation
bin1010000111011…
…1101100110111
32221211211121000
42201313230313
541330331320
64113254343
71023451230
oct241675467
987754530
1042433335
1121a5287a
12122643b3
138a392a9
1458c8087
153ad2c90
hex2877b37

42433335 has 64 divisors (see below), whose sum is σ = 87413760. Its totient is φ = 19128960.

The previous prime is 42433333. The next prime is 42433357. The reversal of 42433335 is 53333424.

It is a happy number.

It is not a de Polignac number, because 42433335 - 21 = 42433333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42433299 and 42433308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78165 + ... + 78705.

It is an arithmetic number, because the mean of its divisors is an integer number (1365840).

Almost surely, 242433335 is an apocalyptic number.

42433335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42433335 is an abundant number, since it is smaller than the sum of its proper divisors (44980425).

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

42433335 is a wasteful number, since it uses less digits than its factorization.

42433335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its digits is 12960, while the sum is 27.

The square root of 42433335 is about 6514.0874264934. The cubic root of 42433335 is about 348.7940399928.

Adding to 42433335 its reverse (53333424), we get a palindrome (95766759).

The spelling of 42433335 in words is "forty-two million, four hundred thirty-three thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 83 105 135 189 249 315 415 541 581 747 945 1245 1623 1743 2241 2705 2905 3735 3787 4869 5229 8115 8715 11205 11361 14607 15687 18935 24345 26145 34083 44903 56805 73035 78435 102249 134709 170415 224515 314321 404127 511245 673545 942963 1212381 1571605 2020635 2828889 4714815 6061905 8486667 14144445 42433335