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40225240 = 2351128311
BaseRepresentation
bin1001100101110…
…0100111011000
32210200122122201
42121130213120
540244201430
63554055544
7665623516
oct231344730
983618581
1040225240
1120784900
121157a5b4
138445223
1454b14b6
1537e88ca
hex265c9d8

40225240 has 48 divisors (see below), whose sum is σ = 99494640. Its totient is φ = 14625600.

The previous prime is 40225219. The next prime is 40225243. The reversal of 40225240 is 4252204.

40225240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 685 + ... + 8995.

It is an arithmetic number, because the mean of its divisors is an integer number (2072805).

Almost surely, 240225240 is an apocalyptic number.

40225240 is a gapful number since it is divisible by the number (40) 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 40225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49747320).

40225240 is an abundant number, since it is smaller than the sum of its proper divisors (59269400).

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

40225240 is a wasteful number, since it uses less digits than its factorization.

40225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 40225240 is about 6342.3371086690. The cubic root of 40225240 is about 342.6359131678.

Adding to 40225240 its reverse (4252204), we get a palindrome (44477444).

The spelling of 40225240 in words is "forty million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 8311 16622 33244 41555 66488 83110 91421 166220 182842 332440 365684 457105 731368 914210 1005631 1828420 2011262 3656840 4022524 5028155 8045048 10056310 20112620 40225240