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4257264 = 243112733
BaseRepresentation
bin10000001111010111110000
322000021212110
4100033113300
52042213024
6231125320
751120564
oct20172760
98007773
104257264
112448600
121513840
13b609bb
147cb6a4
15591629
hex40f5f0

4257264 has 60 divisors (see below), whose sum is σ = 12105128. Its totient is φ = 1288320.

The previous prime is 4257241. The next prime is 4257269. The reversal of 4257264 is 4627524.

It is a d-powerful number, because it can be written as 42 + 28 + 56 + 73 + 222 + 66 + 43 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257269) 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 11 ways as a sum of consecutive naturals, for example, 5442 + ... + 6174.

Almost surely, 24257264 is an apocalyptic number.

4257264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052564).

4257264 is an abundant number, since it is smaller than the sum of its proper divisors (7847864).

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

4257264 is a wasteful number, since it uses less digits than its factorization.

4257264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 4257264 is about 2063.3138394340. The cubic root of 4257264 is about 162.0728220080.

The spelling of 4257264 in words is "four million, two hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 733 968 1452 1466 1936 2199 2904 2932 4398 5808 5864 8063 8796 11728 16126 17592 24189 32252 35184 48378 64504 88693 96756 129008 177386 193512 266079 354772 387024 532158 709544 1064316 1419088 2128632 4257264