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2496 = 26313
BaseRepresentation
bin100111000000
310102110
4213000
534441
615320
710164
oct4700
93373
102496
11196a
121540
1311a0
14ca4
15b16
hex9c0

2496 has 28 divisors (see below), whose sum is σ = 7112. Its totient is φ = 768.

The previous prime is 2477. The next prime is 2503. The reversal of 2496 is 6942.

Its product of digits (432) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

2496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (254).

2496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556).

2496 is an abundant number, since it is smaller than the sum of its proper divisors (4616).

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

2496 is a wasteful number, since it uses less digits than its factorization.

2496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 18 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2496 is about 49.9599839872. The cubic root of 2496 is about 13.5648457721.

It can be divided in two parts, 24 and 96, that multiplied together give a square (2304 = 482).

The spelling of 2496 in words is "two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496