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40440224 = 2511131877
BaseRepresentation
bin1001101001000…
…1000110100000
32211002120120002
42122101012200
540323041344
64002435132
71000510346
oct232210640
984076502
1040440224
1120911380
1211662aa8
1384bc036
145529996
15383c44e
hex26911a0

40440224 has 48 divisors (see below), whose sum is σ = 87617376. Its totient is φ = 18220800.

The previous prime is 40440221. The next prime is 40440259. The reversal of 40440224 is 42204404.

It is a junction number, because it is equal to n+sod(n) for n = 40440196 and 40440205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40440221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45674 + ... + 46550.

It is an arithmetic number, because the mean of its divisors is an integer number (1825362).

Almost surely, 240440224 is an apocalyptic number.

40440224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43808688).

40440224 is an abundant number, since it is smaller than the sum of its proper divisors (47177152).

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

40440224 is a wasteful number, since it uses less digits than its factorization.

40440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 40440224 is about 6359.2628503625. The cubic root of 40440224 is about 343.2452354058.

Adding to 40440224 its reverse (42204404), we get a palindrome (82644628).

The spelling of 40440224 in words is "forty million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 877 1048 1441 1754 2096 2882 3508 4192 5764 7016 9647 11528 14032 19294 23056 28064 38588 46112 77176 114887 154352 229774 308704 459548 919096 1263757 1838192 2527514 3676384 5055028 10110056 20220112 40440224