Search a number
-
+
4276384 = 257171123
BaseRepresentation
bin10000010100000010100000
322001021002121
4100110002200
52043321014
6231354024
751230410
oct20240240
98037077
104276384
112460a02
121522914
13b69608
147d4640
15597124
hex4140a0

4276384 has 48 divisors (see below), whose sum is σ = 10196928. Its totient is φ = 1723392.

The previous prime is 4276381. The next prime is 4276421. The reversal of 4276384 is 4836724.

4276384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 4 + 215 + 74 + 66 + 35 + 8 + 411 .

It is not an unprimeable number, because it can be changed into a prime (4276381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3247 + ... + 4369.

It is an arithmetic number, because the mean of its divisors is an integer number (212436).

Almost surely, 24276384 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 4276384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098464).

4276384 is an abundant number, since it is smaller than the sum of its proper divisors (5920544).

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

4276384 is a wasteful number, since it uses less digits than its factorization.

4276384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 4276384 is about 2067.9419721066. The cubic root of 4276384 is about 162.3150906570.

Subtracting from 4276384 its sum of digits (34), we obtain a triangular number (4276350 = T2924).

The spelling of 4276384 in words is "four million, two hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1123 1904 2246 3808 4492 7861 8984 15722 17968 19091 31444 35936 38182 62888 76364 125776 133637 152728 251552 267274 305456 534548 610912 1069096 2138192 4276384