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2042613 = 32733109
BaseRepresentation
bin111110010101011110101
310211202221100
413302223311
51010330423
6111440313
723235066
oct7625365
93752840
102042613
111175711
12826099
13566961
143b256d
152a5343
hex1f2af5

2042613 has 12 divisors (see below), whose sum is σ = 2991820. Its totient is φ = 1342656.

The previous prime is 2042609. The next prime is 2042627. The reversal of 2042613 is 3162402.

It is a happy number.

2042613 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 1306449 = 858^2 + 1143^2 .

It is not a de Polignac number, because 2042613 - 22 = 2042609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042603) 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, 898 + ... + 2211.

22042613 is an apocalyptic number.

It is an amenable number.

2042613 is a deficient number, since it is larger than the sum of its proper divisors (949207).

2042613 is a wasteful number, since it uses less digits than its factorization.

2042613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2042613 is about 1429.2001259446. The cubic root of 2042613 is about 126.8806409522.

The spelling of 2042613 in words is "two million, forty-two thousand, six hundred thirteen".

Divisors: 1 3 9 73 219 657 3109 9327 27981 226957 680871 2042613