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BaseRepresentation
bin11111111110
32210210
4133332
531141
613250
75652
oct3776
92723
102046
1115a0
121226
13c15
14a62
15916
hex7fe

2046 has 16 divisors (see below), whose sum is σ = 4608. Its totient is φ = 600.

The previous prime is 2039. The next prime is 2053. The reversal of 2046 is 6402.

It is an interprime number because it is at equal distance from previous prime (2039) and next prime (2053).

It is a super-2 number, since 2×20462 = 8372232, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 2 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2046.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (288).

It is a practical number, because each smaller number is the sum of distinct divisors of 2046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304).

2046 is an abundant number, since it is smaller than the sum of its proper divisors (2562).

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

2046 is a wasteful number, since it uses less digits than its factorization.

2046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2046 is about 45.2327315116. The cubic root of 2046 is about 12.6950732125.

Adding to 2046 its reverse (6402), we get a palindrome (8448).

Subtracting 2046 from its reverse (6402), we obtain a square (4356 = 662).

It can be divided in two parts, 204 and 6, that added together give a triangular number (210 = T20).

The spelling of 2046 in words is "two thousand, forty-six", and thus it is an eban number.

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046