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4282272 = 253214869
BaseRepresentation
bin10000010101011110100000
322001120011200
4100111132200
52044013042
6231441200
751253521
oct20253640
98046150
104282272
112465375
121526200
13b6c1b7
147d6848
15598c4c
hex4157a0

4282272 has 36 divisors (see below), whose sum is σ = 12178530. Its totient is φ = 1427328.

The previous prime is 4282237. The next prime is 4282273. The reversal of 4282272 is 2722824.

It can be written as a sum of positive squares in only one way, i.e., 4016016 + 266256 = 2004^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (4282273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7147 + ... + 7722.

Almost surely, 24282272 is an apocalyptic number.

It is an amenable number.

4282272 is an abundant number, since it is smaller than the sum of its proper divisors (7896258).

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

4282272 is a wasteful number, since it uses less digits than its factorization.

4282272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14874 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 4282272 is about 2069.3651200308. The cubic root of 4282272 is about 162.3895517719.

It can be divided in two parts, 4282 and 272, that added together give a palindrome (4554).

The spelling of 4282272 in words is "four million, two hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14869 29738 44607 59476 89214 118952 133821 178428 237904 267642 356856 475808 535284 713712 1070568 1427424 2141136 4282272