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42824025 = 335263443
BaseRepresentation
bin1010001101011…
…1000101011001
32222120200112000
42203113011121
541430332100
64125511213
71026666246
oct243270531
988520460
1042824025
112219a362
1212412509
138b4507a
14598a5cd
153b5d900
hex28d7159

42824025 has 24 divisors (see below), whose sum is σ = 78670560. Its totient is φ = 22839120.

The previous prime is 42824021. The next prime is 42824069. The reversal of 42824025 is 52042824.

It is a happy number.

42824025 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 42824025 - 22 = 42824021 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42824025.

It is not an unprimeable number, because it can be changed into a prime (42824021) 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, 31047 + ... + 32396.

It is an arithmetic number, because the mean of its divisors is an integer number (3277940).

Almost surely, 242824025 is an apocalyptic number.

42824025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42824025 is a deficient number, since it is larger than the sum of its proper divisors (35846535).

42824025 is a wasteful number, since it uses less digits than its factorization.

42824025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63462 (or 63451 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42824025 is about 6544.0068001187. The cubic root of 42824025 is about 349.8612375099.

Adding to 42824025 its reverse (52042824), we get a palindrome (94866849).

The spelling of 42824025 in words is "forty-two million, eight hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 63443 190329 317215 570987 951645 1586075 1712961 2854935 4758225 8564805 14274675 42824025