Search a number
-
+
4428312 = 233743613
BaseRepresentation
bin10000111001001000011000
322022222111120
4100321020120
52113201222
6234525240
752432350
oct20711030
98288446
104428312
112555069
121596820
13bc0805
14833b60
155c715c
hex439218

4428312 has 64 divisors (see below), whose sum is σ = 12967680. Its totient is φ = 1233792.

The previous prime is 4428301. The next prime is 4428317. The reversal of 4428312 is 2138244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6918 + ... + 7530.

It is an arithmetic number, because the mean of its divisors is an integer number (202620).

Almost surely, 24428312 is an apocalyptic number.

4428312 is a gapful number since it is divisible by the number (42) 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 4428312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483840).

4428312 is an abundant number, since it is smaller than the sum of its proper divisors (8539368).

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

4428312 is a wasteful number, since it uses less digits than its factorization.

4428312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4428312 is about 2104.3554832775. The cubic root of 4428312 is about 164.2149669635.

The spelling of 4428312 in words is "four million, four hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 613 903 1032 1204 1226 1806 1839 2408 2452 3612 3678 4291 4904 7224 7356 8582 12873 14712 17164 25746 26359 34328 51492 52718 79077 102984 105436 158154 184513 210872 316308 369026 553539 632616 738052 1107078 1476104 2214156 4428312