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40424144 = 242987121
BaseRepresentation
bin1001101000110…
…1001011010000
32211001202111112
42122031023100
540322033034
64002232452
71000412435
oct232151320
984052445
1040424144
1120900292
1211655728
1384b4917
145523b8c
1538377ce
hex268d2d0

40424144 has 20 divisors (see below), whose sum is σ = 81023460. Its totient is φ = 19514880.

The previous prime is 40424141. The next prime is 40424149. The reversal of 40424144 is 44142404.

It can be written as a sum of positive squares in 2 ways, for example, as 28090000 + 12334144 = 5300^2 + 3512^2 .

It is a super-2 number, since 2×404241442 = 3268222836265472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40424141) 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 3 ways as a sum of consecutive naturals, for example, 43097 + ... + 44024.

It is an arithmetic number, because the mean of its divisors is an integer number (4051173).

Almost surely, 240424144 is an apocalyptic number.

It is an amenable number.

40424144 is an abundant number, since it is smaller than the sum of its proper divisors (40599316).

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

40424144 is a wasteful number, since it uses less digits than its factorization.

40424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87158 (or 87152 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 40424144 is about 6357.9984271782. The cubic root of 40424144 is about 343.1997352037.

Adding to 40424144 its reverse (44142404), we get a palindrome (84566548).

The spelling of 40424144 in words is "forty million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 87121 174242 348484 696968 1393936 2526509 5053018 10106036 20212072 40424144