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2509429 = 131371409
BaseRepresentation
bin1001100100101001110101
311201111021211
421210221311
51120300204
6125441421
730221056
oct11445165
94644254
102509429
11146440a
12a10271
1369b290
1449472d
15348804
hex264a75

2509429 has 8 divisors (see below), whose sum is σ = 2724120. Its totient is φ = 2297856.

The previous prime is 2509427. The next prime is 2509433. The reversal of 2509429 is 9249052.

2509429 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 22500 + 2486929 = 150^2 + 1577^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2509429 - 21 = 2509427 is a prime.

It is a Duffinian number.

2509429 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2509429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509427) 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 7 ways as a sum of consecutive naturals, for example, 1077 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (340515).

22509429 is an apocalyptic number.

It is an amenable number.

2509429 is a deficient number, since it is larger than the sum of its proper divisors (214691).

2509429 is a wasteful number, since it uses less digits than its factorization.

2509429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 2509429 is about 1584.1177355235. The cubic root of 2509429 is about 135.8912950556.

The spelling of 2509429 in words is "two million, five hundred nine thousand, four hundred twenty-nine".

Divisors: 1 13 137 1409 1781 18317 193033 2509429