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2642825 = 52611733
BaseRepresentation
bin1010000101001110001001
311222021021102
422011032021
51134032300
6132351145
731315013
oct12051611
94867242
102642825
111545659
12a754b5
13716c03
144cb1b3
153730d5
hex285389

2642825 has 12 divisors (see below), whose sum is σ = 3332748. Its totient is φ = 2078400.

The previous prime is 2642821. The next prime is 2642839. The reversal of 2642825 is 5282462.

It can be written as a sum of positive squares in 6 ways, for example, as 546121 + 2096704 = 739^2 + 1448^2 .

It is not a de Polignac number, because 2642825 - 22 = 2642821 is a prime.

It is a d-powerful number, because it can be written as 214 + 63 + 46 + 219 + 82 + 221 + 54 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2642821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (277729).

22642825 is an apocalyptic number.

2642825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2642825 is a deficient number, since it is larger than the sum of its proper divisors (689923).

2642825 is a wasteful number, since it uses less digits than its factorization.

2642825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1799 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 2642825 is about 1625.6767821434. The cubic root of 2642825 is about 138.2577448690.

The spelling of 2642825 in words is "two million, six hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 61 305 1525 1733 8665 43325 105713 528565 2642825