Search a number
-
+
4364832 = 253192393
BaseRepresentation
bin10000101001101000100000
322012202102110
4100221220200
52104133312
6233315320
752046313
oct20515040
98182373
104364832
1125113aa
121565b40
13b9a954
1481897a
155b343c
hex429a20

4364832 has 48 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1377792.

The previous prime is 4364809. The next prime is 4364837. The reversal of 4364832 is 2384634.

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

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

It is a d-powerful number, because it can be written as 43 + 33 + 62 + 411 + 85 + 38 + 217 .

It is a self number, because there is not a number n which added to its sum of digits gives 4364832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4364837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 3020.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 24364832 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 4364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4364832 is an abundant number, since it is smaller than the sum of its proper divisors (7700928).

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

4364832 is a wasteful number, since it uses less digits than its factorization.

4364832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4364832 is about 2089.2180355339. The cubic root of 4364832 is about 163.4265116908.

The spelling of 4364832 in words is "four million, three hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2393 4786 7179 9572 14358 19144 28716 38288 45467 57432 76576 90934 114864 136401 181868 229728 272802 363736 545604 727472 1091208 1454944 2182416 4364832