Search a number
-
+
6244032 = 263171913
BaseRepresentation
bin10111110100011011000000
3102202020012110
4113310123000
53044302112
6341455320
7104034114
oct27643300
912666173
106244032
113585263
122111540
1313a80c2
14b87744
1583513c
hex5f46c0

6244032 has 56 divisors (see below), whose sum is σ = 17501616. Its totient is φ = 1957888.

The previous prime is 6244031. The next prime is 6244033. The reversal of 6244032 is 2304426.

6244032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6244031) and next prime (6244033).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6244031) 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 7 ways as a sum of consecutive naturals, for example, 2308 + ... + 4220.

Almost surely, 26244032 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 6244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750808).

6244032 is an abundant number, since it is smaller than the sum of its proper divisors (11257584).

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

6244032 is a wasteful number, since it uses less digits than its factorization.

6244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6244032 is about 2498.8061149277. The cubic root of 6244032 is about 184.1429261272.

Adding to 6244032 its reverse (2304426), we get a palindrome (8548458).

It can be divided in two parts, 624 and 4032, that added together give a triangular number (4656 = T96).

The spelling of 6244032 in words is "six million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 1913 3264 3826 5739 7652 11478 15304 22956 30608 32521 45912 61216 65042 91824 97563 122432 130084 183648 195126 260168 367296 390252 520336 780504 1040672 1561008 2081344 3122016 6244032