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4114272 = 253172521
BaseRepresentation
bin1111101100011101100000
321202000201110
433230131200
52023124042
6224103320
746653651
oct17543540
97660643
104114272
112360128
121464b40
13b108a6
14791528
1556409c
hex3ec760

4114272 has 48 divisors (see below), whose sum is σ = 11439792. Its totient is φ = 1290240.

The previous prime is 4114249. The next prime is 4114277. The reversal of 4114272 is 2724114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (238329).

Almost surely, 24114272 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 4114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719896).

4114272 is an abundant number, since it is smaller than the sum of its proper divisors (7325520).

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

4114272 is a wasteful number, since it uses less digits than its factorization.

4114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2543 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 4114272 is about 2028.3668307286. The cubic root of 4114272 is about 160.2375637637.

Adding to 4114272 its reverse (2724114), we get a palindrome (6838386).

It can be divided in two parts, 41142 and 72, that added together give a palindrome (41214).

The spelling of 4114272 in words is "four million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2521 5042 7563 10084 15126 20168 30252 40336 42857 60504 80672 85714 121008 128571 171428 242016 257142 342856 514284 685712 1028568 1371424 2057136 4114272