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2748416 = 2121161
BaseRepresentation
bin1010011111000000000000
312011122010012
422133000000
51200422131
6134524052
732234606
oct12370000
95148105
102748416
111607a20
12b06628
13752ca8
14517876
1539452b
hex29f000

2748416 has 52 divisors (see below), whose sum is σ = 6094104. Its totient is φ = 1228800.

The previous prime is 2748413. The next prime is 2748433. The reversal of 2748416 is 6148472.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (10752) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748413) 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, 45026 + ... + 45086.

22748416 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 2748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047052).

2748416 is an abundant number, since it is smaller than the sum of its proper divisors (3345688).

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

2748416 is an equidigital number, since it uses as much as digits as its factorization.

2748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 2748416 is about 1657.8347324145. The cubic root of 2748416 is about 140.0750617888.

The spelling of 2748416 in words is "two million, seven hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 256 352 488 512 671 704 976 1024 1342 1408 1952 2048 2684 2816 3904 4096 5368 5632 7808 10736 11264 15616 21472 22528 31232 42944 45056 62464 85888 124928 171776 249856 343552 687104 1374208 2748416