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2742625 = 5337593
BaseRepresentation
bin1010011101100101100001
312011100011201
422131211201
51200231000
6134441201
732211664
oct12354541
95140151
102742625
111603636
12b03201
13750472
145156db
1539296a
hex29d961

2742625 has 16 divisors (see below), whose sum is σ = 3521232. Its totient is φ = 2131200.

The previous prime is 2742587. The next prime is 2742629. The reversal of 2742625 is 5262472.

2742625 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 8 ways, for example, as 271441 + 2471184 = 521^2 + 1572^2 .

It is a de Polignac number, because none of the positive numbers 2k-2742625 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2742593 and 2742602.

It is not an unprimeable number, because it can be changed into a prime (2742629) 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 15 ways as a sum of consecutive naturals, for example, 4329 + ... + 4921.

It is an arithmetic number, because the mean of its divisors is an integer number (220077).

22742625 is an apocalyptic number.

2742625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2742625 is a deficient number, since it is larger than the sum of its proper divisors (778607).

2742625 is an equidigital number, since it uses as much as digits as its factorization.

2742625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 2742625 is about 1656.0872561553. The cubic root of 2742625 is about 139.9766117393.

The spelling of 2742625 in words is "two million, seven hundred forty-two thousand, six hundred twenty-five".

Divisors: 1 5 25 37 125 185 593 925 2965 4625 14825 21941 74125 109705 548525 2742625