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2745472 = 2789241
BaseRepresentation
bin1010011110010010000000
312011111002011
422132102000
51200323342
6134502304
732223202
oct12362200
95144064
102745472
111605794
12b04994
13751852
14516772
15393717
hex29e480

2745472 has 32 divisors (see below), whose sum is σ = 5553900. Its totient is φ = 1351680.

The previous prime is 2745467. The next prime is 2745473.

2745472 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 3136 = 1656^2 + 56^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2745473) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11272 + ... + 11512.

22745472 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 2745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776950).

2745472 is an abundant number, since it is smaller than the sum of its proper divisors (2808428).

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

2745472 is an equidigital number, since it uses as much as digits as its factorization.

2745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 15680, while the sum is 31.

The square root of 2745472 is about 1656.9465893625. The cubic root of 2745472 is about 140.0250295385.

The spelling of 2745472 in words is "two million, seven hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 241 356 482 712 964 1424 1928 2848 3856 5696 7712 11392 15424 21449 30848 42898 85796 171592 343184 686368 1372736 2745472