Search a number
-
+
5849424 = 243272829
BaseRepresentation
bin10110010100000101010000
3102000011220100
4112110011100
52444140144
6325212400
7100501500
oct26240520
912004810
105849424
113335839
121b61100
13129a5c9
14ac3a00
157a8269
hex594150

5849424 has 90 divisors (see below), whose sum is σ = 19065930. Its totient is φ = 1669248.

The previous prime is 5849423. The next prime is 5849453. The reversal of 5849424 is 4249485.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 705600 = 2268^2 + 840^2 .

It is a super-2 number, since 2×58494242 = 68431522263552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5849423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6642 + ... + 7470.

Almost surely, 25849424 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 5849424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532965).

5849424 is an abundant number, since it is smaller than the sum of its proper divisors (13216506).

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

5849424 is a wasteful number, since it uses less digits than its factorization.

5849424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5849424 is about 2418.5582482132. The cubic root of 5849424 is about 180.1790810334.

The spelling of 5849424 in words is "five million, eight hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 829 882 1008 1176 1658 1764 2352 2487 3316 3528 4974 5803 6632 7056 7461 9948 11606 13264 14922 17409 19896 23212 29844 34818 39792 40621 46424 52227 59688 69636 81242 92848 104454 119376 121863 139272 162484 208908 243726 278544 324968 365589 417816 487452 649936 731178 835632 974904 1462356 1949808 2924712 5849424