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4824135 = 325235979
BaseRepresentation
bin10010011001110001000111
3100002002110200
4102121301013
52213333020
6251221543
756001351
oct22316107
910062420
104824135
1127a5498
1217478b3
13ccba24
148d80d1
15654590
hex499c47

4824135 has 48 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 2388672.

The previous prime is 4824133. The next prime is 4824151. The reversal of 4824135 is 5314284.

It is not a de Polignac number, because 4824135 - 21 = 4824133 is a prime.

It is a d-powerful number, because it can be written as 42 + 85 + 213 + 43 + 1 + 314 + 53 .

4824135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4824099 and 4824108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4824133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61026 + ... + 61104.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 24824135 is an apocalyptic number.

4824135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4824135 is a deficient number, since it is larger than the sum of its proper divisors (4161465).

4824135 is a wasteful number, since it uses less digits than its factorization.

4824135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4824135 is about 2196.3913585698. The cubic root of 4824135 is about 168.9687861776.

The spelling of 4824135 in words is "four million, eight hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 23 45 59 69 79 115 177 207 237 295 345 395 531 711 885 1035 1185 1357 1817 2655 3555 4071 4661 5451 6785 9085 12213 13983 16353 20355 23305 27255 41949 61065 69915 81765 107203 209745 321609 536015 964827 1608045 4824135