Search a number
-
+
42836535 = 3257219427
BaseRepresentation
bin1010001101101…
…0001000110111
32222121022200100
42203122020313
541431232120
64130045143
71030050600
oct243321067
988538610
1042836535
11221a87a5
12124197b3
138b4a981
145990da7
153b62490
hex28da237

42836535 has 36 divisors (see below), whose sum is σ = 86376888. Its totient is φ = 19581408.

The previous prime is 42836533. The next prime is 42836551. The reversal of 42836535 is 53563824.

It is a happy number.

42836535 is a `hidden beast` number, since 42 + 83 + 6 + 535 = 666.

42836535 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 42836535 - 21 = 42836533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42836535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42836531) 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 35 ways as a sum of consecutive naturals, for example, 7509 + ... + 11918.

It is an arithmetic number, because the mean of its divisors is an integer number (2399358).

Almost surely, 242836535 is an apocalyptic number.

42836535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42836535 is an abundant number, since it is smaller than the sum of its proper divisors (43540353).

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

42836535 is a wasteful number, since it uses less digits than its factorization.

42836535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19452 (or 19442 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 42836535 is about 6544.9625667379. The cubic root of 42836535 is about 349.8953020174.

It can be divided in two parts, 428 and 36535, that added together give a palindrome (36963).

The spelling of 42836535 in words is "forty-two million, eight hundred thirty-six thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 19427 58281 97135 135989 174843 291405 407967 679945 874215 951923 1223901 2039835 2855769 4759615 6119505 8567307 14278845 42836535