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4278144 = 27313857
BaseRepresentation
bin10000010100011110000000
322001100111210
4100110132000
52043400034
6231410120
751235503
oct20243600
98040453
104278144
112462262
121523940
13b6a360
147d513a
155978e9
hex414780

4278144 has 64 divisors (see below), whose sum is σ = 12252240. Its totient is φ = 1314816.

The previous prime is 4278143. The next prime is 4278179. The reversal of 4278144 is 4418724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278143) 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 7 ways as a sum of consecutive naturals, for example, 4564 + ... + 5420.

Almost surely, 24278144 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 4278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126120).

4278144 is an abundant number, since it is smaller than the sum of its proper divisors (7974096).

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

4278144 is a wasteful number, since it uses less digits than its factorization.

4278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 4278144 is about 2068.3674721867. The cubic root of 4278144 is about 162.3373552133.

The spelling of 4278144 in words is "four million, two hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 857 1248 1664 1714 2496 2571 3428 4992 5142 6856 10284 11141 13712 20568 22282 27424 33423 41136 44564 54848 66846 82272 89128 109696 133692 164544 178256 267384 329088 356512 534768 713024 1069536 1426048 2139072 4278144