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2912 = 25713
BaseRepresentation
bin101101100000
310222212
4231200
543122
621252
711330
oct5540
93885
102912
112208
121828
131430
1410c0
15ce2
hexb60

2912 has 24 divisors (see below), whose sum is σ = 7056. Its totient is φ = 1152.

The previous prime is 2909. The next prime is 2917. The reversal of 2912 is 2192.

2912 = T13 + T14 + ... + T26.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2917) 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 in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (294).

22912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528).

2912 is an abundant number, since it is smaller than the sum of its proper divisors (4144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2912 is a wasteful number, since it uses less digits than its factorization.

2912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 22 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 2912 is about 53.9629502529. The cubic root of 2912 is about 14.2800739638.

Adding to 2912 its sum of digits (14), we get a triangular number (2926 = T76).

The spelling of 2912 in words is "two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912