Search a number
-
+
6424272 = 24344957
BaseRepresentation
bin11000100000011011010000
3110002101110000
4120200123100
53121034042
6345410000
7105414441
oct30403320
913071400
106424272
113698718
122199900
13143c15a
14bd32c8
1586d74c
hex6206d0

6424272 has 50 divisors (see below), whose sum is σ = 18597458. Its totient is φ = 2140992.

The previous prime is 6424241. The next prime is 6424277. The reversal of 6424272 is 2724246.

It is a happy number.

6424272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 254016 = 2484^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424277) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1183 + ... + 3774.

Almost surely, 26424272 is an apocalyptic number.

It is an amenable number.

6424272 is an abundant number, since it is smaller than the sum of its proper divisors (12173186).

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

6424272 is a wasteful number, since it uses less digits than its factorization.

6424272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4962 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 6424272 is about 2534.6147636278. The cubic root of 6424272 is about 185.8979669313.

It can be divided in two parts, 64 and 24272, that added together give a square (24336 = 1562).

The spelling of 6424272 in words is "six million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4957 9914 14871 19828 29742 39656 44613 59484 79312 89226 118968 133839 178452 237936 267678 356904 401517 535356 713808 803034 1070712 1606068 2141424 3212136 6424272