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2413696 = 27109173
BaseRepresentation
bin1001001101010010000000
311112121222011
421031102000
51104214241
6123422304
726342005
oct11152200
94477864
102413696
1113a949a
12984994
1366682c
1446b8ac
1532a281
hex24d480

2413696 has 32 divisors (see below), whose sum is σ = 4880700. Its totient is φ = 1188864.

The previous prime is 2413693. The next prime is 2413721. The reversal of 2413696 is 6963142.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 270400 = 1464^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2413693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13866 + ... + 14038.

22413696 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 2413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440350).

2413696 is an abundant number, since it is smaller than the sum of its proper divisors (2467004).

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

2413696 is a wasteful number, since it uses less digits than its factorization.

2413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2413696 is about 1553.6074150184. The cubic root of 2413696 is about 134.1407891315.

The spelling of 2413696 in words is "two million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 109 128 173 218 346 436 692 872 1384 1744 2768 3488 5536 6976 11072 13952 18857 22144 37714 75428 150856 301712 603424 1206848 2413696