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2813993 = 713172107
BaseRepresentation
bin1010101111000000101001
312021222001222
422233000221
51210021433
6140151425
732630030
oct12570051
95258058
102813993
111652216
12b38575
13776ab0
14533717
153a8b98
hex2af029

2813993 has 24 divisors (see below), whose sum is σ = 3713472. Its totient is φ = 2075904.

The previous prime is 2813989. The next prime is 2814001. The reversal of 2813993 is 3993182.

It is not a de Polignac number, because 2813993 - 22 = 2813989 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

Its product of digits (11664) is a multiple of the sum of its prime divisors (144).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2813903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26246 + ... + 26352.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

22813993 is an apocalyptic number.

It is an amenable number.

2813993 is a deficient number, since it is larger than the sum of its proper divisors (899479).

2813993 is a wasteful number, since it uses less digits than its factorization.

2813993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 2813993 is about 1677.4960506660. The cubic root of 2813993 is about 141.1803771012.

The spelling of 2813993 in words is "two million, eight hundred thirteen thousand, nine hundred ninety-three".

Divisors: 1 7 13 17 91 107 119 221 289 749 1391 1547 1819 2023 3757 9737 12733 23647 26299 30923 165529 216461 401999 2813993