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2486848 = 26721361
BaseRepresentation
bin1001011111001001000000
311200100022111
421133021000
51114034343
6125145104
730065200
oct11371100
94610274
102486848
111449451
129bb194
13690c10
1448a400
15341c9d
hex25f240

2486848 has 84 divisors (see below), whose sum is σ = 6283452. Its totient is φ = 967680.

The previous prime is 2486843. The next prime is 2486857. The reversal of 2486848 is 8486842.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 2286144 = 448^2 + 1512^2 .

It is a d-powerful number, because it can be written as 219 + 44 + 82 + 68 + 84 + 47 + 86 .

It is a self number, because there is not a number n which added to its sum of digits gives 2486848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2486843) 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, 40738 + ... + 40798.

It is an arithmetic number, because the mean of its divisors is an integer number (74803).

22486848 is an apocalyptic number.

2486848 is a gapful number since it is divisible by the number (28) 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 2486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141726).

2486848 is an abundant number, since it is smaller than the sum of its proper divisors (3796604).

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

2486848 is a wasteful number, since it uses less digits than its factorization.

2486848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 2486848 is about 1576.9743181168. The cubic root of 2486848 is about 135.4824621120.

The spelling of 2486848 in words is "two million, four hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 64 91 98 104 112 122 182 196 208 224 244 364 392 416 427 448 488 637 728 784 793 832 854 976 1274 1456 1568 1586 1708 1952 2548 2912 2989 3136 3172 3416 3904 5096 5551 5824 5978 6344 6832 10192 11102 11956 12688 13664 20384 22204 23912 25376 27328 38857 40768 44408 47824 50752 77714 88816 95648 155428 177632 191296 310856 355264 621712 1243424 2486848