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2612 = 22653
BaseRepresentation
bin101000110100
310120202
4220310
540422
620032
710421
oct5064
93522
102612
111a65
121618
13125c
14d48
15b92
hexa34

2612 has 6 divisors (see below), whose sum is σ = 4578. Its totient is φ = 1304.

The previous prime is 2609. The next prime is 2617. The reversal of 2612 is 2162.

Subtracting from 2612 its sum of digits (11), we obtain a square (2601 = 512).

Adding to 2612 its reverse (2162), we get a palindrome (4774).

It can be written as a sum of positive squares in only one way, i.e., 1936 + 676 = 44^2 + 26^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2593 and 2602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 323 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (763).

22612 is an apocalyptic number.

It is an amenable number.

2612 is a deficient number, since it is larger than the sum of its proper divisors (1966).

2612 is a wasteful number, since it uses less digits than its factorization.

2612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 2612 is about 51.1077293567. The cubic root of 2612 is about 13.7718111136.

The spelling of 2612 in words is "two thousand, six hundred twelve".

Divisors: 1 2 4 653 1306 2612