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2748288 = 27317421
BaseRepresentation
bin1010011110111110000000
312011121221110
422132332000
51200421123
6134523320
732234334
oct12367600
95147843
102748288
111607914
12b06540
13752c0a
145177c4
15394493
hex29ef80

2748288 has 64 divisors (see below), whose sum is σ = 7747920. Its totient is φ = 860160.

The previous prime is 2748287. The next prime is 2748313. The reversal of 2748288 is 8828472.

2748288 is nontrivially palindromic in base 15.

2748288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6318 + ... + 6738.

22748288 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 2748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873960).

2748288 is an abundant number, since it is smaller than the sum of its proper divisors (4999632).

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

2748288 is a wasteful number, since it uses less digits than its factorization.

2748288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2748288 is about 1657.7961273932. The cubic root of 2748288 is about 140.0728872167.

The spelling of 2748288 in words is "two million, seven hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 421 544 816 842 1088 1263 1632 1684 2176 2526 3264 3368 5052 6528 6736 7157 10104 13472 14314 20208 21471 26944 28628 40416 42942 53888 57256 80832 85884 114512 161664 171768 229024 343536 458048 687072 916096 1374144 2748288